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Finding the Third Proportional to 200,740,653 and 306,880,434

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Solution

The third proportional to 200,740,653 and 306,880,434 is: 469,140,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,740,653 : 306,880,434 = 306,880,434 : x
  2. Step 2: Convert to fraction form
    200,740,653/306,880,434 = 306,880,434/x
  3. Step 3: Cross multiply
    200,740,653x = 306,880,434 × 306,880,434
  4. Step 4: Simplify right side
    200,740,653x = 94,175,600,772,028,352
  5. Step 5: Solve for x
    x = 94,175,600,772,028,352/200,740,653
  6. Step 6: Final answer
    x = 469,140,651.70

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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.