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Finding the Third Proportional to 140,905,713.75 and 291,477,010.88

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Solution

The third proportional to 140,905,713.75 and 291,477,010.88 is: 602,948,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,905,713.75 : 291,477,010.88 = 291,477,010.88 : x
  2. Step 2: Convert to fraction form
    140,905,713.75/291,477,010.88 = 291,477,010.88/x
  3. Step 3: Cross multiply
    140,905,713.75x = 291,477,010.88 × 291,477,010.88
  4. Step 4: Simplify right side
    140,905,713.75x = 84,958,847,868,624,864
  5. Step 5: Solve for x
    x = 84,958,847,868,624,864/140,905,713.75
  6. Step 6: Final answer
    x = 602,948,209.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.