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Finding the Third Proportional to 125,587,386,822 and 193,036,817,673

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Solution

The third proportional to 125,587,386,822 and 193,036,817,673 is: 296,711,428,753.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,587,386,822 : 193,036,817,673 = 193,036,817,673 : x
  2. Step 2: Convert to fraction form
    125,587,386,822/193,036,817,673 = 193,036,817,673/x
  3. Step 3: Cross multiply
    125,587,386,822x = 193,036,817,673 × 193,036,817,673
  4. Step 4: Simplify right side
    125,587,386,822x = 37,263,212,977,319,044,972,544
  5. Step 5: Solve for x
    x = 37,263,212,977,319,044,972,544/125,587,386,822
  6. Step 6: Final answer
    x = 296,711,428,753.06

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Why These Related Problems?

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