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Finding the Third Proportional to 101,421,569 and 151,535,320

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Solution

The third proportional to 101,421,569 and 151,535,320 is: 226,410,944.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,421,569 : 151,535,320 = 151,535,320 : x
  2. Step 2: Convert to fraction form
    101,421,569/151,535,320 = 151,535,320/x
  3. Step 3: Cross multiply
    101,421,569x = 151,535,320 × 151,535,320
  4. Step 4: Simplify right side
    101,421,569x = 22,962,953,207,502,400
  5. Step 5: Solve for x
    x = 22,962,953,207,502,400/101,421,569
  6. Step 6: Final answer
    x = 226,410,944.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.