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Finding the Third Proportional to 78,140,635 and 170,167,261

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Solution

The third proportional to 78,140,635 and 170,167,261 is: 370,574,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,140,635 : 170,167,261 = 170,167,261 : x
  2. Step 2: Convert to fraction form
    78,140,635/170,167,261 = 170,167,261/x
  3. Step 3: Cross multiply
    78,140,635x = 170,167,261 × 170,167,261
  4. Step 4: Simplify right side
    78,140,635x = 28,956,896,716,242,120
  5. Step 5: Solve for x
    x = 28,956,896,716,242,120/78,140,635
  6. Step 6: Final answer
    x = 370,574,115.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.