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Finding the Third Proportional to 46,648,305.38 and 101,225,883

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Solution

The third proportional to 46,648,305.38 and 101,225,883 is: 219,658,127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,648,305.38 : 101,225,883 = 101,225,883 : x
  2. Step 2: Convert to fraction form
    46,648,305.38/101,225,883 = 101,225,883/x
  3. Step 3: Cross multiply
    46,648,305.38x = 101,225,883 × 101,225,883
  4. Step 4: Simplify right side
    46,648,305.38x = 10,246,679,389,129,688
  5. Step 5: Solve for x
    x = 10,246,679,389,129,688/46,648,305.38
  6. Step 6: Final answer
    x = 219,658,127.06

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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.