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Finding the Third Proportional to 200,740,655 and 306,880,437

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Solution

The third proportional to 200,740,655 and 306,880,437 is: 469,140,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,740,655 : 306,880,437 = 306,880,437 : x
  2. Step 2: Convert to fraction form
    200,740,655/306,880,437 = 306,880,437/x
  3. Step 3: Cross multiply
    200,740,655x = 306,880,437 × 306,880,437
  4. Step 4: Simplify right side
    200,740,655x = 94,175,602,613,310,976
  5. Step 5: Solve for x
    x = 94,175,602,613,310,976/200,740,655
  6. Step 6: Final answer
    x = 469,140,656.20

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