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Finding the Third Proportional to 92,323,209.50 and 199,966,840.50

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Solution

The third proportional to 92,323,209.50 and 199,966,840.50 is: 433,116,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,323,209.50 : 199,966,840.50 = 199,966,840.50 : x
  2. Step 2: Convert to fraction form
    92,323,209.50/199,966,840.50 = 199,966,840.50/x
  3. Step 3: Cross multiply
    92,323,209.50x = 199,966,840.50 × 199,966,840.50
  4. Step 4: Simplify right side
    92,323,209.50x = 39,986,737,299,552,440
  5. Step 5: Solve for x
    x = 39,986,737,299,552,440/92,323,209.50
  6. Step 6: Final answer
    x = 433,116,845.87

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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.