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Finding the Third Proportional to 191,264,915,713.50 and 418,560,114,055.50

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Solution

The third proportional to 191,264,915,713.50 and 418,560,114,055.50 is: 915,968,139,920.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,264,915,713.50 : 418,560,114,055.50 = 418,560,114,055.50 : x
  2. Step 2: Convert to fraction form
    191,264,915,713.50/418,560,114,055.50 = 418,560,114,055.50/x
  3. Step 3: Cross multiply
    191,264,915,713.50x = 418,560,114,055.50 × 418,560,114,055.50
  4. Step 4: Simplify right side
    191,264,915,713.50x = 175,192,569,078,153,178,251,264
  5. Step 5: Solve for x
    x = 175,192,569,078,153,178,251,264/191,264,915,713.50
  6. Step 6: Final answer
    x = 915,968,139,920.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.