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Finding the Third Proportional to 235,646,059 and 495,712,161

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Solution

The third proportional to 235,646,059 and 495,712,161 is: 1,042,795,061.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,646,059 : 495,712,161 = 495,712,161 : x
  2. Step 2: Convert to fraction form
    235,646,059/495,712,161 = 495,712,161/x
  3. Step 3: Cross multiply
    235,646,059x = 495,712,161 × 495,712,161
  4. Step 4: Simplify right side
    235,646,059x = 245,730,546,563,289,920
  5. Step 5: Solve for x
    x = 245,730,546,563,289,920/235,646,059
  6. Step 6: Final answer
    x = 1,042,795,061.40

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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.