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Finding the Third Proportional to 231,455,394 and 495,124,596

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Solution

The third proportional to 231,455,394 and 495,124,596 is: 1,059,160,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,455,394 : 495,124,596 = 495,124,596 : x
  2. Step 2: Convert to fraction form
    231,455,394/495,124,596 = 495,124,596/x
  3. Step 3: Cross multiply
    231,455,394x = 495,124,596 × 495,124,596
  4. Step 4: Simplify right side
    231,455,394x = 245,148,365,564,163,200
  5. Step 5: Solve for x
    x = 245,148,365,564,163,200/231,455,394
  6. Step 6: Final answer
    x = 1,059,160,304.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.