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Finding the Third Proportional to 235,646,057.25 and 495,712,156.50

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Solution

The third proportional to 235,646,057.25 and 495,712,156.50 is: 1,042,795,050.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,646,057.25 : 495,712,156.50 = 495,712,156.50 : x
  2. Step 2: Convert to fraction form
    235,646,057.25/495,712,156.50 = 495,712,156.50/x
  3. Step 3: Cross multiply
    235,646,057.25x = 495,712,156.50 × 495,712,156.50
  4. Step 4: Simplify right side
    235,646,057.25x = 245,730,542,101,880,480
  5. Step 5: Solve for x
    x = 245,730,542,101,880,480/235,646,057.25
  6. Step 6: Final answer
    x = 1,042,795,050.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.