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Finding the Third Proportional to 107,664,818 and 236,173,742

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Solution

The third proportional to 107,664,818 and 236,173,742 is: 518,071,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,664,818 : 236,173,742 = 236,173,742 : x
  2. Step 2: Convert to fraction form
    107,664,818/236,173,742 = 236,173,742/x
  3. Step 3: Cross multiply
    107,664,818x = 236,173,742 × 236,173,742
  4. Step 4: Simplify right side
    107,664,818x = 55,778,036,410,282,560
  5. Step 5: Solve for x
    x = 55,778,036,410,282,560/107,664,818
  6. Step 6: Final answer
    x = 518,071,153.11

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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.