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Finding the Third Proportional to 202,164,157.13 and 288,897,257.81

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Solution

The third proportional to 202,164,157.13 and 288,897,257.81 is: 412,840,865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,164,157.13 : 288,897,257.81 = 288,897,257.81 : x
  2. Step 2: Convert to fraction form
    202,164,157.13/288,897,257.81 = 288,897,257.81/x
  3. Step 3: Cross multiply
    202,164,157.13x = 288,897,257.81 × 288,897,257.81
  4. Step 4: Simplify right side
    202,164,157.13x = 83,461,625,571,582,096
  5. Step 5: Solve for x
    x = 83,461,625,571,582,096/202,164,157.13
  6. Step 6: Final answer
    x = 412,840,865.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.