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Finding the Third Proportional to 151,422,127 and 328,687,130

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Solution

The third proportional to 151,422,127 and 328,687,130 is: 713,470,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,422,127 : 328,687,130 = 328,687,130 : x
  2. Step 2: Convert to fraction form
    151,422,127/328,687,130 = 328,687,130/x
  3. Step 3: Cross multiply
    151,422,127x = 328,687,130 × 328,687,130
  4. Step 4: Simplify right side
    151,422,127x = 108,035,229,427,636,896
  5. Step 5: Solve for x
    x = 108,035,229,427,636,896/151,422,127
  6. Step 6: Final answer
    x = 713,470,557.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.