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Finding the Third Proportional to 48,736,983 and 107,038,507

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Solution

The third proportional to 48,736,983 and 107,038,507 is: 235,083,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,736,983 : 107,038,507 = 107,038,507 : x
  2. Step 2: Convert to fraction form
    48,736,983/107,038,507 = 107,038,507/x
  3. Step 3: Cross multiply
    48,736,983x = 107,038,507 × 107,038,507
  4. Step 4: Simplify right side
    48,736,983x = 11,457,241,980,789,048
  5. Step 5: Solve for x
    x = 11,457,241,980,789,048/48,736,983
  6. Step 6: Final answer
    x = 235,083,119.13

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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.