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Finding the Third Proportional to 48,745,495 and 105,882,158

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Solution

The third proportional to 48,745,495 and 105,882,158 is: 229,991,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,745,495 : 105,882,158 = 105,882,158 : x
  2. Step 2: Convert to fraction form
    48,745,495/105,882,158 = 105,882,158/x
  3. Step 3: Cross multiply
    48,745,495x = 105,882,158 × 105,882,158
  4. Step 4: Simplify right side
    48,745,495x = 11,211,031,382,736,964
  5. Step 5: Solve for x
    x = 11,211,031,382,736,964/48,745,495
  6. Step 6: Final answer
    x = 229,991,128.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.