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Finding the Third Proportional to 147,613,363 and 317,132,946

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Solution

The third proportional to 147,613,363 and 317,132,946 is: 681,329,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,613,363 : 317,132,946 = 317,132,946 : x
  2. Step 2: Convert to fraction form
    147,613,363/317,132,946 = 317,132,946/x
  3. Step 3: Cross multiply
    147,613,363x = 317,132,946 × 317,132,946
  4. Step 4: Simplify right side
    147,613,363x = 100,573,305,438,638,912
  5. Step 5: Solve for x
    x = 100,573,305,438,638,912/147,613,363
  6. Step 6: Final answer
    x = 681,329,273.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.