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Finding the Third Proportional to 100,654,759,594 and 156,285,702,951

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Solution

The third proportional to 100,654,759,594 and 156,285,702,951 is: 242,663,347,917.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,654,759,594 : 156,285,702,951 = 156,285,702,951 : x
  2. Step 2: Convert to fraction form
    100,654,759,594/156,285,702,951 = 156,285,702,951/x
  3. Step 3: Cross multiply
    100,654,759,594x = 156,285,702,951 × 156,285,702,951
  4. Step 4: Simplify right side
    100,654,759,594x = 24,425,220,946,888,209,989,632
  5. Step 5: Solve for x
    x = 24,425,220,946,888,209,989,632/100,654,759,594
  6. Step 6: Final answer
    x = 242,663,347,917.27

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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.