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Finding the Third Proportional to 115,493,289.19 and 240,540,214.50

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Solution

The third proportional to 115,493,289.19 and 240,540,214.50 is: 500,977,980.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,493,289.19 : 240,540,214.50 = 240,540,214.50 : x
  2. Step 2: Convert to fraction form
    115,493,289.19/240,540,214.50 = 240,540,214.50/x
  3. Step 3: Cross multiply
    115,493,289.19x = 240,540,214.50 × 240,540,214.50
  4. Step 4: Simplify right side
    115,493,289.19x = 57,859,594,791,706,008
  5. Step 5: Solve for x
    x = 57,859,594,791,706,008/115,493,289.19
  6. Step 6: Final answer
    x = 500,977,980.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.