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Finding the Third Proportional to 101,026,537 and 218,219,373

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Solution

The third proportional to 101,026,537 and 218,219,373 is: 471,358,280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,026,537 : 218,219,373 = 218,219,373 : x
  2. Step 2: Convert to fraction form
    101,026,537/218,219,373 = 218,219,373/x
  3. Step 3: Cross multiply
    101,026,537x = 218,219,373 × 218,219,373
  4. Step 4: Simplify right side
    101,026,537x = 47,619,694,752,513,128
  5. Step 5: Solve for x
    x = 47,619,694,752,513,128/101,026,537
  6. Step 6: Final answer
    x = 471,358,280.37

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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.