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Finding the Third Proportional to 102,337,042 and 167,089,490

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Solution

The third proportional to 102,337,042 and 167,089,490 is: 272,813,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,337,042 : 167,089,490 = 167,089,490 : x
  2. Step 2: Convert to fraction form
    102,337,042/167,089,490 = 167,089,490/x
  3. Step 3: Cross multiply
    102,337,042x = 167,089,490 × 167,089,490
  4. Step 4: Simplify right side
    102,337,042x = 27,918,897,668,460,100
  5. Step 5: Solve for x
    x = 27,918,897,668,460,100/102,337,042
  6. Step 6: Final answer
    x = 272,813,217.22

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.