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Finding the Third Proportional to 91,111,508 and 146,719,534

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Solution

The third proportional to 91,111,508 and 146,719,534 is: 236,266,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,111,508 : 146,719,534 = 146,719,534 : x
  2. Step 2: Convert to fraction form
    91,111,508/146,719,534 = 146,719,534/x
  3. Step 3: Cross multiply
    91,111,508x = 146,719,534 × 146,719,534
  4. Step 4: Simplify right side
    91,111,508x = 21,526,621,657,177,156
  5. Step 5: Solve for x
    x = 21,526,621,657,177,156/91,111,508
  6. Step 6: Final answer
    x = 236,266,769.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.