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Finding the Third Proportional to 92,280,354 and 200,403,916.50

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Solution

The third proportional to 92,280,354 and 200,403,916.50 is: 435,214,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,280,354 : 200,403,916.50 = 200,403,916.50 : x
  2. Step 2: Convert to fraction form
    92,280,354/200,403,916.50 = 200,403,916.50/x
  3. Step 3: Cross multiply
    92,280,354x = 200,403,916.50 × 200,403,916.50
  4. Step 4: Simplify right side
    92,280,354x = 40,161,729,748,538,976
  5. Step 5: Solve for x
    x = 40,161,729,748,538,976/92,280,354
  6. Step 6: Final answer
    x = 435,214,300.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.