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Finding the Third Proportional to 202,743,873.28 and 314,076,882.38

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Solution

The third proportional to 202,743,873.28 and 314,076,882.38 is: 486,546,332.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,743,873.28 : 314,076,882.38 = 314,076,882.38 : x
  2. Step 2: Convert to fraction form
    202,743,873.28/314,076,882.38 = 314,076,882.38/x
  3. Step 3: Cross multiply
    202,743,873.28x = 314,076,882.38 × 314,076,882.38
  4. Step 4: Simplify right side
    202,743,873.28x = 98,644,288,042,399,584
  5. Step 5: Solve for x
    x = 98,644,288,042,399,584/202,743,873.28
  6. Step 6: Final answer
    x = 486,546,332.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.