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Finding the Third Proportional to 292,113,502.88 and 454,920,608.81

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Solution

The third proportional to 292,113,502.88 and 454,920,608.81 is: 708,466,942.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,113,502.88 : 454,920,608.81 = 454,920,608.81 : x
  2. Step 2: Convert to fraction form
    292,113,502.88/454,920,608.81 = 454,920,608.81/x
  3. Step 3: Cross multiply
    292,113,502.88x = 454,920,608.81 × 454,920,608.81
  4. Step 4: Simplify right side
    292,113,502.88x = 206,952,760,322,335,648
  5. Step 5: Solve for x
    x = 206,952,760,322,335,648/292,113,502.88
  6. Step 6: Final answer
    x = 708,466,942.77

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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.