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Finding the Third Proportional to 191,264,915,712 and 418,560,114,052.50

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Solution

The third proportional to 191,264,915,712 and 418,560,114,052.50 is: 915,968,139,914.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,264,915,712 : 418,560,114,052.50 = 418,560,114,052.50 : x
  2. Step 2: Convert to fraction form
    191,264,915,712/418,560,114,052.50 = 418,560,114,052.50/x
  3. Step 3: Cross multiply
    191,264,915,712x = 418,560,114,052.50 × 418,560,114,052.50
  4. Step 4: Simplify right side
    191,264,915,712x = 175,192,569,075,641,796,788,224
  5. Step 5: Solve for x
    x = 175,192,569,075,641,796,788,224/191,264,915,712
  6. Step 6: Final answer
    x = 915,968,139,914.59

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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.