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Finding the Third Proportional to 48,773,536.68 and 113,808,848.77

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Solution

The third proportional to 48,773,536.68 and 113,808,848.77 is: 265,563,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,773,536.68 : 113,808,848.77 = 113,808,848.77 : x
  2. Step 2: Convert to fraction form
    48,773,536.68/113,808,848.77 = 113,808,848.77/x
  3. Step 3: Cross multiply
    48,773,536.68x = 113,808,848.77 × 113,808,848.77
  4. Step 4: Simplify right side
    48,773,536.68x = 12,952,454,057,355,764
  5. Step 5: Solve for x
    x = 12,952,454,057,355,764/48,773,536.68
  6. Step 6: Final answer
    x = 265,563,150.43

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.