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Finding the Third Proportional to 46,241,578 and 96,308,700

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Solution

The third proportional to 46,241,578 and 96,308,700 is: 200,584,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,241,578 : 96,308,700 = 96,308,700 : x
  2. Step 2: Convert to fraction form
    46,241,578/96,308,700 = 96,308,700/x
  3. Step 3: Cross multiply
    46,241,578x = 96,308,700 × 96,308,700
  4. Step 4: Simplify right side
    46,241,578x = 9,275,365,695,690,000
  5. Step 5: Solve for x
    x = 9,275,365,695,690,000/46,241,578
  6. Step 6: Final answer
    x = 200,584,973.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.