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Finding the Third Proportional to 45,437,272 and 97,802,960

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Solution

The third proportional to 45,437,272 and 97,802,960 is: 210,519,218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,437,272 : 97,802,960 = 97,802,960 : x
  2. Step 2: Convert to fraction form
    45,437,272/97,802,960 = 97,802,960/x
  3. Step 3: Cross multiply
    45,437,272x = 97,802,960 × 97,802,960
  4. Step 4: Simplify right side
    45,437,272x = 9,565,418,984,761,600
  5. Step 5: Solve for x
    x = 9,565,418,984,761,600/45,437,272
  6. Step 6: Final answer
    x = 210,519,218.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.