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Finding the Third Proportional to 46,957,729 and 101,732,228

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Solution

The third proportional to 46,957,729 and 101,732,228 is: 220,399,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,957,729 : 101,732,228 = 101,732,228 : x
  2. Step 2: Convert to fraction form
    46,957,729/101,732,228 = 101,732,228/x
  3. Step 3: Cross multiply
    46,957,729x = 101,732,228 × 101,732,228
  4. Step 4: Simplify right side
    46,957,729x = 10,349,446,213,843,984
  5. Step 5: Solve for x
    x = 10,349,446,213,843,984/46,957,729
  6. Step 6: Final answer
    x = 220,399,206.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.