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Finding the Third Proportional to 152,074,426.50 and 312,210,769.88

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Solution

The third proportional to 152,074,426.50 and 312,210,769.88 is: 640,972,759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,074,426.50 : 312,210,769.88 = 312,210,769.88 : x
  2. Step 2: Convert to fraction form
    152,074,426.50/312,210,769.88 = 312,210,769.88/x
  3. Step 3: Cross multiply
    152,074,426.50x = 312,210,769.88 × 312,210,769.88
  4. Step 4: Simplify right side
    152,074,426.50x = 97,475,564,825,940,208
  5. Step 5: Solve for x
    x = 97,475,564,825,940,208/152,074,426.50
  6. Step 6: Final answer
    x = 640,972,759.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.