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Finding the Third Proportional to 160,279,798.50 and 254,001,975.75

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Solution

The third proportional to 160,279,798.50 and 254,001,975.75 is: 402,527,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,279,798.50 : 254,001,975.75 = 254,001,975.75 : x
  2. Step 2: Convert to fraction form
    160,279,798.50/254,001,975.75 = 254,001,975.75/x
  3. Step 3: Cross multiply
    160,279,798.50x = 254,001,975.75 × 254,001,975.75
  4. Step 4: Simplify right side
    160,279,798.50x = 64,517,003,684,903,592
  5. Step 5: Solve for x
    x = 64,517,003,684,903,592/160,279,798.50
  6. Step 6: Final answer
    x = 402,527,357.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.