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Finding the Third Proportional to 459,239,788.50 and 709,165,158

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Solution

The third proportional to 459,239,788.50 and 709,165,158 is: 1,095,103,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,239,788.50 : 709,165,158 = 709,165,158 : x
  2. Step 2: Convert to fraction form
    459,239,788.50/709,165,158 = 709,165,158/x
  3. Step 3: Cross multiply
    459,239,788.50x = 709,165,158 × 709,165,158
  4. Step 4: Simplify right side
    459,239,788.50x = 502,915,221,321,164,992
  5. Step 5: Solve for x
    x = 502,915,221,321,164,992/459,239,788.50
  6. Step 6: Final answer
    x = 1,095,103,764.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.