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Finding the Third Proportional to 302,490,895.50 and 616,081,909.50

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Solution

The third proportional to 302,490,895.50 and 616,081,909.50 is: 1,254,771,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,490,895.50 : 616,081,909.50 = 616,081,909.50 : x
  2. Step 2: Convert to fraction form
    302,490,895.50/616,081,909.50 = 616,081,909.50/x
  3. Step 3: Cross multiply
    302,490,895.50x = 616,081,909.50 × 616,081,909.50
  4. Step 4: Simplify right side
    302,490,895.50x = 379,556,919,213,166,208
  5. Step 5: Solve for x
    x = 379,556,919,213,166,208/302,490,895.50
  6. Step 6: Final answer
    x = 1,254,771,382.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.