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Finding the Third Proportional to 191,205,088 and 419,177,984

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Solution

The third proportional to 191,205,088 and 419,177,984 is: 918,961,854.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,205,088 : 419,177,984 = 419,177,984 : x
  2. Step 2: Convert to fraction form
    191,205,088/419,177,984 = 419,177,984/x
  3. Step 3: Cross multiply
    191,205,088x = 419,177,984 × 419,177,984
  4. Step 4: Simplify right side
    191,205,088x = 175,710,182,270,304,256
  5. Step 5: Solve for x
    x = 175,710,182,270,304,256/191,205,088
  6. Step 6: Final answer
    x = 918,961,854.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.