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Finding the Third Proportional to 72,987,792 and 102,041,232

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Solution

The third proportional to 72,987,792 and 102,041,232 is: 142,659,652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,987,792 : 102,041,232 = 102,041,232 : x
  2. Step 2: Convert to fraction form
    72,987,792/102,041,232 = 102,041,232/x
  3. Step 3: Cross multiply
    72,987,792x = 102,041,232 × 102,041,232
  4. Step 4: Simplify right side
    72,987,792x = 10,412,413,028,077,824
  5. Step 5: Solve for x
    x = 10,412,413,028,077,824/72,987,792
  6. Step 6: Final answer
    x = 142,659,652.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.