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Finding the Third Proportional to 235,754,820.50 and 495,940,959.50

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Solution

The third proportional to 235,754,820.50 and 495,940,959.50 is: 1,043,276,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,754,820.50 : 495,940,959.50 = 495,940,959.50 : x
  2. Step 2: Convert to fraction form
    235,754,820.50/495,940,959.50 = 495,940,959.50/x
  3. Step 3: Cross multiply
    235,754,820.50x = 495,940,959.50 × 495,940,959.50
  4. Step 4: Simplify right side
    235,754,820.50x = 245,957,435,309,780,640
  5. Step 5: Solve for x
    x = 245,957,435,309,780,640/235,754,820.50
  6. Step 6: Final answer
    x = 1,043,276,378.35

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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.