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Finding the Third Proportional to 202,171,648.50 and 288,908,543.25

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Solution

The third proportional to 202,171,648.50 and 288,908,543.25 is: 412,857,821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,171,648.50 : 288,908,543.25 = 288,908,543.25 : x
  2. Step 2: Convert to fraction form
    202,171,648.50/288,908,543.25 = 288,908,543.25/x
  3. Step 3: Cross multiply
    202,171,648.50x = 288,908,543.25 × 288,908,543.25
  4. Step 4: Simplify right side
    202,171,648.50x = 83,468,146,362,837,120
  5. Step 5: Solve for x
    x = 83,468,146,362,837,120/202,171,648.50
  6. Step 6: Final answer
    x = 412,857,821.47

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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.