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Finding the Third Proportional to 157,499,662.50 and 246,507,963.75

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Solution

The third proportional to 157,499,662.50 and 246,507,963.75 is: 385,817,818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,499,662.50 : 246,507,963.75 = 246,507,963.75 : x
  2. Step 2: Convert to fraction form
    157,499,662.50/246,507,963.75 = 246,507,963.75/x
  3. Step 3: Cross multiply
    157,499,662.50x = 246,507,963.75 × 246,507,963.75
  4. Step 4: Simplify right side
    157,499,662.50x = 60,766,176,192,171,312
  5. Step 5: Solve for x
    x = 60,766,176,192,171,312/157,499,662.50
  6. Step 6: Final answer
    x = 385,817,818.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.