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Finding the Third Proportional to 159,117,382.50 and 237,696,124.50

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Solution

The third proportional to 159,117,382.50 and 237,696,124.50 is: 355,080,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,117,382.50 : 237,696,124.50 = 237,696,124.50 : x
  2. Step 2: Convert to fraction form
    159,117,382.50/237,696,124.50 = 237,696,124.50/x
  3. Step 3: Cross multiply
    159,117,382.50x = 237,696,124.50 × 237,696,124.50
  4. Step 4: Simplify right side
    159,117,382.50x = 56,499,447,602,319,504
  5. Step 5: Solve for x
    x = 56,499,447,602,319,504/159,117,382.50
  6. Step 6: Final answer
    x = 355,080,298.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.