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Finding the Third Proportional to 200,361,321 and 306,500,854.50

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Solution

The third proportional to 200,361,321 and 306,500,854.50 is: 468,866,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,361,321 : 306,500,854.50 = 306,500,854.50 : x
  2. Step 2: Convert to fraction form
    200,361,321/306,500,854.50 = 306,500,854.50/x
  3. Step 3: Cross multiply
    200,361,321x = 306,500,854.50 × 306,500,854.50
  4. Step 4: Simplify right side
    200,361,321x = 93,942,773,809,230,176
  5. Step 5: Solve for x
    x = 93,942,773,809,230,176/200,361,321
  6. Step 6: Final answer
    x = 468,866,811.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.