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Finding the Third Proportional to 68,439,627 and 152,180,923.50

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Solution

The third proportional to 68,439,627 and 152,180,923.50 is: 338,386,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,439,627 : 152,180,923.50 = 152,180,923.50 : x
  2. Step 2: Convert to fraction form
    68,439,627/152,180,923.50 = 152,180,923.50/x
  3. Step 3: Cross multiply
    68,439,627x = 152,180,923.50 × 152,180,923.50
  4. Step 4: Simplify right side
    68,439,627x = 23,159,033,477,312,852
  5. Step 5: Solve for x
    x = 23,159,033,477,312,852/68,439,627
  6. Step 6: Final answer
    x = 338,386,319.34

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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.