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Finding the Third Proportional to 46,241,580 and 96,308,704

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Solution

The third proportional to 46,241,580 and 96,308,704 is: 200,584,981.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,241,580 : 96,308,704 = 96,308,704 : x
  2. Step 2: Convert to fraction form
    46,241,580/96,308,704 = 96,308,704/x
  3. Step 3: Cross multiply
    46,241,580x = 96,308,704 × 96,308,704
  4. Step 4: Simplify right side
    46,241,580x = 9,275,366,466,159,616
  5. Step 5: Solve for x
    x = 9,275,366,466,159,616/46,241,580
  6. Step 6: Final answer
    x = 200,584,981.44

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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.