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Finding the Third Proportional to 102,160,466 and 158,623,599

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Solution

The third proportional to 102,160,466 and 158,623,599 is: 246,293,376.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,160,466 : 158,623,599 = 158,623,599 : x
  2. Step 2: Convert to fraction form
    102,160,466/158,623,599 = 158,623,599/x
  3. Step 3: Cross multiply
    102,160,466x = 158,623,599 × 158,623,599
  4. Step 4: Simplify right side
    102,160,466x = 25,161,446,159,712,800
  5. Step 5: Solve for x
    x = 25,161,446,159,712,800/102,160,466
  6. Step 6: Final answer
    x = 246,293,376.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.