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Finding the Third Proportional to 117,316,293.75 and 159,764,767.88

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Solution

The third proportional to 117,316,293.75 and 159,764,767.88 is: 217,572,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,316,293.75 : 159,764,767.88 = 159,764,767.88 : x
  2. Step 2: Convert to fraction form
    117,316,293.75/159,764,767.88 = 159,764,767.88/x
  3. Step 3: Cross multiply
    117,316,293.75x = 159,764,767.88 × 159,764,767.88
  4. Step 4: Simplify right side
    117,316,293.75x = 25,524,781,054,152,632
  5. Step 5: Solve for x
    x = 25,524,781,054,152,632/117,316,293.75
  6. Step 6: Final answer
    x = 217,572,344.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.