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Finding the Third Proportional to 48,606,652.50 and 114,740,582.25

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Solution

The third proportional to 48,606,652.50 and 114,740,582.25 is: 270,855,953.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,606,652.50 : 114,740,582.25 = 114,740,582.25 : x
  2. Step 2: Convert to fraction form
    48,606,652.50/114,740,582.25 = 114,740,582.25/x
  3. Step 3: Cross multiply
    48,606,652.50x = 114,740,582.25 × 114,740,582.25
  4. Step 4: Simplify right side
    48,606,652.50x = 13,165,401,215,069,016
  5. Step 5: Solve for x
    x = 13,165,401,215,069,016/48,606,652.50
  6. Step 6: Final answer
    x = 270,855,953.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.