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Finding the Third Proportional to 107,223,084 and 234,109,577

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Solution

The third proportional to 107,223,084 and 234,109,577 is: 511,152,001.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,223,084 : 234,109,577 = 234,109,577 : x
  2. Step 2: Convert to fraction form
    107,223,084/234,109,577 = 234,109,577/x
  3. Step 3: Cross multiply
    107,223,084x = 234,109,577 × 234,109,577
  4. Step 4: Simplify right side
    107,223,084x = 54,807,294,043,118,928
  5. Step 5: Solve for x
    x = 54,807,294,043,118,928/107,223,084
  6. Step 6: Final answer
    x = 511,152,001.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.