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Finding the Third Proportional to 100,654,759,598 and 156,285,702,957

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Solution

The third proportional to 100,654,759,598 and 156,285,702,957 is: 242,663,347,926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,654,759,598 : 156,285,702,957 = 156,285,702,957 : x
  2. Step 2: Convert to fraction form
    100,654,759,598/156,285,702,957 = 156,285,702,957/x
  3. Step 3: Cross multiply
    100,654,759,598x = 156,285,702,957 × 156,285,702,957
  4. Step 4: Simplify right side
    100,654,759,598x = 24,425,220,948,763,638,497,280
  5. Step 5: Solve for x
    x = 24,425,220,948,763,638,497,280/100,654,759,598
  6. Step 6: Final answer
    x = 242,663,347,926.26

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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.