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Finding the Third Proportional to 96,973,878.50 and 215,471,148.50

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Solution

The third proportional to 96,973,878.50 and 215,471,148.50 is: 478,766,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,973,878.50 : 215,471,148.50 = 215,471,148.50 : x
  2. Step 2: Convert to fraction form
    96,973,878.50/215,471,148.50 = 215,471,148.50/x
  3. Step 3: Cross multiply
    96,973,878.50x = 215,471,148.50 × 215,471,148.50
  4. Step 4: Simplify right side
    96,973,878.50x = 46,427,815,835,909,056
  5. Step 5: Solve for x
    x = 46,427,815,835,909,056/96,973,878.50
  6. Step 6: Final answer
    x = 478,766,205.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.