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Finding the Third Proportional to 101,026,801.50 and 218,220,033

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Solution

The third proportional to 101,026,801.50 and 218,220,033 is: 471,359,897.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,026,801.50 : 218,220,033 = 218,220,033 : x
  2. Step 2: Convert to fraction form
    101,026,801.50/218,220,033 = 218,220,033/x
  3. Step 3: Cross multiply
    101,026,801.50x = 218,220,033 × 218,220,033
  4. Step 4: Simplify right side
    101,026,801.50x = 47,619,982,802,521,088
  5. Step 5: Solve for x
    x = 47,619,982,802,521,088/101,026,801.50
  6. Step 6: Final answer
    x = 471,359,897.53

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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.