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Finding the Third Proportional to 48,455,742.38 and 106,326,417.38

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Solution

The third proportional to 48,455,742.38 and 106,326,417.38 is: 233,312,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,455,742.38 : 106,326,417.38 = 106,326,417.38 : x
  2. Step 2: Convert to fraction form
    48,455,742.38/106,326,417.38 = 106,326,417.38/x
  3. Step 3: Cross multiply
    48,455,742.38x = 106,326,417.38 × 106,326,417.38
  4. Step 4: Simplify right side
    48,455,742.38x = 11,305,307,031,802,702
  5. Step 5: Solve for x
    x = 11,305,307,031,802,702/48,455,742.38
  6. Step 6: Final answer
    x = 233,312,017.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.