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Finding the Third Proportional to 232,957,921.50 and 370,861,465.50

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Solution

The third proportional to 232,957,921.50 and 370,861,465.50 is: 590,399,440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,957,921.50 : 370,861,465.50 = 370,861,465.50 : x
  2. Step 2: Convert to fraction form
    232,957,921.50/370,861,465.50 = 370,861,465.50/x
  3. Step 3: Cross multiply
    232,957,921.50x = 370,861,465.50 × 370,861,465.50
  4. Step 4: Simplify right side
    232,957,921.50x = 137,538,226,592,807,696
  5. Step 5: Solve for x
    x = 137,538,226,592,807,696/232,957,921.50
  6. Step 6: Final answer
    x = 590,399,440.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.