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Finding the Third Proportional to 202,164,138.56 and 288,897,232.50

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Solution

The third proportional to 202,164,138.56 and 288,897,232.50 is: 412,840,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,164,138.56 : 288,897,232.50 = 288,897,232.50 : x
  2. Step 2: Convert to fraction form
    202,164,138.56/288,897,232.50 = 288,897,232.50/x
  3. Step 3: Cross multiply
    202,164,138.56x = 288,897,232.50 × 288,897,232.50
  4. Step 4: Simplify right side
    202,164,138.56x = 83,461,610,946,159,056
  5. Step 5: Solve for x
    x = 83,461,610,946,159,056/202,164,138.56
  6. Step 6: Final answer
    x = 412,840,830.92

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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.