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Finding the Third Proportional to 119,017,159.50 and 183,831,814

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Solution

The third proportional to 119,017,159.50 and 183,831,814 is: 283,943,390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,017,159.50 : 183,831,814 = 183,831,814 : x
  2. Step 2: Convert to fraction form
    119,017,159.50/183,831,814 = 183,831,814/x
  3. Step 3: Cross multiply
    119,017,159.50x = 183,831,814 × 183,831,814
  4. Step 4: Simplify right side
    119,017,159.50x = 33,794,135,838,530,596
  5. Step 5: Solve for x
    x = 33,794,135,838,530,596/119,017,159.50
  6. Step 6: Final answer
    x = 283,943,390.86

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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.