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Finding the Third Proportional to 71,360,640 and 113,421,168

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Solution

The third proportional to 71,360,640 and 113,421,168 is: 180,272,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,360,640 : 113,421,168 = 113,421,168 : x
  2. Step 2: Convert to fraction form
    71,360,640/113,421,168 = 113,421,168/x
  3. Step 3: Cross multiply
    71,360,640x = 113,421,168 × 113,421,168
  4. Step 4: Simplify right side
    71,360,640x = 12,864,361,350,484,224
  5. Step 5: Solve for x
    x = 12,864,361,350,484,224/71,360,640
  6. Step 6: Final answer
    x = 180,272,505.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.