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Finding the Third Proportional to 235,646,031.75 and 495,712,105.50

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Solution

The third proportional to 235,646,031.75 and 495,712,105.50 is: 1,042,794,948.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,646,031.75 : 495,712,105.50 = 495,712,105.50 : x
  2. Step 2: Convert to fraction form
    235,646,031.75/495,712,105.50 = 495,712,105.50/x
  3. Step 3: Cross multiply
    235,646,031.75x = 495,712,105.50 × 495,712,105.50
  4. Step 4: Simplify right side
    235,646,031.75x = 245,730,491,539,243,136
  5. Step 5: Solve for x
    x = 245,730,491,539,243,136/235,646,031.75
  6. Step 6: Final answer
    x = 1,042,794,948.48

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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.