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Finding the Third Proportional to 200,360,948.63 and 306,500,040.84

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Solution

The third proportional to 200,360,948.63 and 306,500,040.84 is: 468,865,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,360,948.63 : 306,500,040.84 = 306,500,040.84 : x
  2. Step 2: Convert to fraction form
    200,360,948.63/306,500,040.84 = 306,500,040.84/x
  3. Step 3: Cross multiply
    200,360,948.63x = 306,500,040.84 × 306,500,040.84
  4. Step 4: Simplify right side
    200,360,948.63x = 93,942,275,037,220,416
  5. Step 5: Solve for x
    x = 93,942,275,037,220,416/200,360,948.63
  6. Step 6: Final answer
    x = 468,865,193.95

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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.