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Finding the Third Proportional to 145,617,414.75 and 312,846,758.44

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Solution

The third proportional to 145,617,414.75 and 312,846,758.44 is: 672,124,927.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,617,414.75 : 312,846,758.44 = 312,846,758.44 : x
  2. Step 2: Convert to fraction form
    145,617,414.75/312,846,758.44 = 312,846,758.44/x
  3. Step 3: Cross multiply
    145,617,414.75x = 312,846,758.44 × 312,846,758.44
  4. Step 4: Simplify right side
    145,617,414.75x = 97,873,094,264,851,472
  5. Step 5: Solve for x
    x = 97,873,094,264,851,472/145,617,414.75
  6. Step 6: Final answer
    x = 672,124,927.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.