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Finding the Third Proportional to 64,649,127 and 143,647,158

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Solution

The third proportional to 64,649,127 and 143,647,158 is: 319,176,869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,649,127 : 143,647,158 = 143,647,158 : x
  2. Step 2: Convert to fraction form
    64,649,127/143,647,158 = 143,647,158/x
  3. Step 3: Cross multiply
    64,649,127x = 143,647,158 × 143,647,158
  4. Step 4: Simplify right side
    64,649,127x = 20,634,506,001,476,964
  5. Step 5: Solve for x
    x = 20,634,506,001,476,964/64,649,127
  6. Step 6: Final answer
    x = 319,176,869.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.