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Finding the Third Proportional to 70,349,667.50 and 152,809,631.50

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Solution

The third proportional to 70,349,667.50 and 152,809,631.50 is: 331,924,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,349,667.50 : 152,809,631.50 = 152,809,631.50 : x
  2. Step 2: Convert to fraction form
    70,349,667.50/152,809,631.50 = 152,809,631.50/x
  3. Step 3: Cross multiply
    70,349,667.50x = 152,809,631.50 × 152,809,631.50
  4. Step 4: Simplify right side
    70,349,667.50x = 23,350,783,479,165,792
  5. Step 5: Solve for x
    x = 23,350,783,479,165,792/70,349,667.50
  6. Step 6: Final answer
    x = 331,924,574.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.