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Finding the Third Proportional to 202,745,227.50 and 314,079,005.25

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Solution

The third proportional to 202,745,227.50 and 314,079,005.25 is: 486,549,660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,745,227.50 : 314,079,005.25 = 314,079,005.25 : x
  2. Step 2: Convert to fraction form
    202,745,227.50/314,079,005.25 = 314,079,005.25/x
  3. Step 3: Cross multiply
    202,745,227.50x = 314,079,005.25 × 314,079,005.25
  4. Step 4: Simplify right side
    202,745,227.50x = 98,645,621,538,829,520
  5. Step 5: Solve for x
    x = 98,645,621,538,829,520/202,745,227.50
  6. Step 6: Final answer
    x = 486,549,660.16

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Why These Related Problems?

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