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Finding the Third Proportional to 292,113,506.25 and 454,920,613.88

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Solution

The third proportional to 292,113,506.25 and 454,920,613.88 is: 708,466,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,113,506.25 : 454,920,613.88 = 454,920,613.88 : x
  2. Step 2: Convert to fraction form
    292,113,506.25/454,920,613.88 = 454,920,613.88/x
  3. Step 3: Cross multiply
    292,113,506.25x = 454,920,613.88 × 454,920,613.88
  4. Step 4: Simplify right side
    292,113,506.25x = 206,952,764,928,406,848
  5. Step 5: Solve for x
    x = 206,952,764,928,406,848/292,113,506.25
  6. Step 6: Final answer
    x = 708,466,950.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.