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Finding the Third Proportional to 178,362,098.16 and 391,799,302.31

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Solution

The third proportional to 178,362,098.16 and 391,799,302.31 is: 860,646,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,362,098.16 : 391,799,302.31 = 391,799,302.31 : x
  2. Step 2: Convert to fraction form
    178,362,098.16/391,799,302.31 = 391,799,302.31/x
  3. Step 3: Cross multiply
    178,362,098.16x = 391,799,302.31 × 391,799,302.31
  4. Step 4: Simplify right side
    178,362,098.16x = 153,506,693,292,561,760
  5. Step 5: Solve for x
    x = 153,506,693,292,561,760/178,362,098.16
  6. Step 6: Final answer
    x = 860,646,375.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.