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Finding the Third Proportional to 48,455,748 and 106,326,427.50

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Solution

The third proportional to 48,455,748 and 106,326,427.50 is: 233,312,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,455,748 : 106,326,427.50 = 106,326,427.50 : x
  2. Step 2: Convert to fraction form
    48,455,748/106,326,427.50 = 106,326,427.50/x
  3. Step 3: Cross multiply
    48,455,748x = 106,326,427.50 × 106,326,427.50
  4. Step 4: Simplify right side
    48,455,748x = 11,305,309,184,912,756
  5. Step 5: Solve for x
    x = 11,305,309,184,912,756/48,455,748
  6. Step 6: Final answer
    x = 233,312,035.24

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Why These Related Problems?

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