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Finding the Third Proportional to 86,343,317 and 176,155,042

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Solution

The third proportional to 86,343,317 and 176,155,042 is: 359,386,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,343,317 : 176,155,042 = 176,155,042 : x
  2. Step 2: Convert to fraction form
    86,343,317/176,155,042 = 176,155,042/x
  3. Step 3: Cross multiply
    86,343,317x = 176,155,042 × 176,155,042
  4. Step 4: Simplify right side
    86,343,317x = 31,030,598,822,021,764
  5. Step 5: Solve for x
    x = 31,030,598,822,021,764/86,343,317
  6. Step 6: Final answer
    x = 359,386,225.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.