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Finding the Third Proportional to 193,513,972 and 417,812,264

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Solution

The third proportional to 193,513,972 and 417,812,264 is: 902,090,356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,513,972 : 417,812,264 = 417,812,264 : x
  2. Step 2: Convert to fraction form
    193,513,972/417,812,264 = 417,812,264/x
  3. Step 3: Cross multiply
    193,513,972x = 417,812,264 × 417,812,264
  4. Step 4: Simplify right side
    193,513,972x = 174,567,087,948,805,696
  5. Step 5: Solve for x
    x = 174,567,087,948,805,696/193,513,972
  6. Step 6: Final answer
    x = 902,090,356.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.