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Finding the Third Proportional to 130,092,822 and 190,244,727

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Solution

The third proportional to 130,092,822 and 190,244,727 is: 278,209,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,092,822 : 190,244,727 = 190,244,727 : x
  2. Step 2: Convert to fraction form
    130,092,822/190,244,727 = 190,244,727/x
  3. Step 3: Cross multiply
    130,092,822x = 190,244,727 × 190,244,727
  4. Step 4: Simplify right side
    130,092,822x = 36,193,056,151,304,528
  5. Step 5: Solve for x
    x = 36,193,056,151,304,528/130,092,822
  6. Step 6: Final answer
    x = 278,209,478.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.