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Finding the Third Proportional to 77,345,259.75 and 111,854,742.75

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Solution

The third proportional to 77,345,259.75 and 111,854,742.75 is: 161,761,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,345,259.75 : 111,854,742.75 = 111,854,742.75 : x
  2. Step 2: Convert to fraction form
    77,345,259.75/111,854,742.75 = 111,854,742.75/x
  3. Step 3: Cross multiply
    77,345,259.75x = 111,854,742.75 × 111,854,742.75
  4. Step 4: Simplify right side
    77,345,259.75x = 12,511,483,475,668,678
  5. Step 5: Solve for x
    x = 12,511,483,475,668,678/77,345,259.75
  6. Step 6: Final answer
    x = 161,761,477.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.