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Finding the Third Proportional to 52,735,398 and 115,681,753.50

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Solution

The third proportional to 52,735,398 and 115,681,753.50 is: 253,762,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,735,398 : 115,681,753.50 = 115,681,753.50 : x
  2. Step 2: Convert to fraction form
    52,735,398/115,681,753.50 = 115,681,753.50/x
  3. Step 3: Cross multiply
    52,735,398x = 115,681,753.50 × 115,681,753.50
  4. Step 4: Simplify right side
    52,735,398x = 13,382,268,092,834,762
  5. Step 5: Solve for x
    x = 13,382,268,092,834,762/52,735,398
  6. Step 6: Final answer
    x = 253,762,531.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.