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Finding the Third Proportional to 89,525,382 and 142,359,180

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Solution

The third proportional to 89,525,382 and 142,359,180 is: 226,373,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,525,382 : 142,359,180 = 142,359,180 : x
  2. Step 2: Convert to fraction form
    89,525,382/142,359,180 = 142,359,180/x
  3. Step 3: Cross multiply
    89,525,382x = 142,359,180 × 142,359,180
  4. Step 4: Simplify right side
    89,525,382x = 20,266,136,130,272,400
  5. Step 5: Solve for x
    x = 20,266,136,130,272,400/89,525,382
  6. Step 6: Final answer
    x = 226,373,076.30

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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.