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Finding the Third Proportional to 97,073,790 and 136,541,139

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Solution

The third proportional to 97,073,790 and 136,541,139 is: 192,054,751.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,073,790 : 136,541,139 = 136,541,139 : x
  2. Step 2: Convert to fraction form
    97,073,790/136,541,139 = 136,541,139/x
  3. Step 3: Cross multiply
    97,073,790x = 136,541,139 × 136,541,139
  4. Step 4: Simplify right side
    97,073,790x = 18,643,482,639,417,320
  5. Step 5: Solve for x
    x = 18,643,482,639,417,320/97,073,790
  6. Step 6: Final answer
    x = 192,054,751.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.