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Finding the Third Proportional to 125,398,974 and 193,689,783

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Solution

The third proportional to 125,398,974 and 193,689,783 is: 299,170,964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,398,974 : 193,689,783 = 193,689,783 : x
  2. Step 2: Convert to fraction form
    125,398,974/193,689,783 = 193,689,783/x
  3. Step 3: Cross multiply
    125,398,974x = 193,689,783 × 193,689,783
  4. Step 4: Simplify right side
    125,398,974x = 37,515,732,038,587,088
  5. Step 5: Solve for x
    x = 37,515,732,038,587,088/125,398,974
  6. Step 6: Final answer
    x = 299,170,964.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.