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Finding the Third Proportional to 97,272,382 and 151,797,598

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Solution

The third proportional to 97,272,382 and 151,797,598 is: 236,886,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,272,382 : 151,797,598 = 151,797,598 : x
  2. Step 2: Convert to fraction form
    97,272,382/151,797,598 = 151,797,598/x
  3. Step 3: Cross multiply
    97,272,382x = 151,797,598 × 151,797,598
  4. Step 4: Simplify right side
    97,272,382x = 23,042,510,758,569,604
  5. Step 5: Solve for x
    x = 23,042,510,758,569,604/97,272,382
  6. Step 6: Final answer
    x = 236,886,465.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.