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Finding the Third Proportional to 48,736,985 and 107,038,511

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Solution

The third proportional to 48,736,985 and 107,038,511 is: 235,083,127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,736,985 : 107,038,511 = 107,038,511 : x
  2. Step 2: Convert to fraction form
    48,736,985/107,038,511 = 107,038,511/x
  3. Step 3: Cross multiply
    48,736,985x = 107,038,511 × 107,038,511
  4. Step 4: Simplify right side
    48,736,985x = 11,457,242,837,097,120
  5. Step 5: Solve for x
    x = 11,457,242,837,097,120/48,736,985
  6. Step 6: Final answer
    x = 235,083,127.06

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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.