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Finding the Third Proportional to 48,736,985.50 and 107,038,511.50

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Solution

The third proportional to 48,736,985.50 and 107,038,511.50 is: 235,083,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,736,985.50 : 107,038,511.50 = 107,038,511.50 : x
  2. Step 2: Convert to fraction form
    48,736,985.50/107,038,511.50 = 107,038,511.50/x
  3. Step 3: Cross multiply
    48,736,985.50x = 107,038,511.50 × 107,038,511.50
  4. Step 4: Simplify right side
    48,736,985.50x = 11,457,242,944,135,632
  5. Step 5: Solve for x
    x = 11,457,242,944,135,632/48,736,985.50
  6. Step 6: Final answer
    x = 235,083,126.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.