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Finding the Third Proportional to 65,233,086.75 and 91,248,328.13

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Solution

The third proportional to 65,233,086.75 and 91,248,328.13 is: 127,638,561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,233,086.75 : 91,248,328.13 = 91,248,328.13 : x
  2. Step 2: Convert to fraction form
    65,233,086.75/91,248,328.13 = 91,248,328.13/x
  3. Step 3: Cross multiply
    65,233,086.75x = 91,248,328.13 × 91,248,328.13
  4. Step 4: Simplify right side
    65,233,086.75x = 8,326,257,385,607,666
  5. Step 5: Solve for x
    x = 8,326,257,385,607,666/65,233,086.75
  6. Step 6: Final answer
    x = 127,638,561.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.