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Finding the Third Proportional to 45,059,098.50 and 92,506,915.69

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Solution

The third proportional to 45,059,098.50 and 92,506,915.69 is: 189,917,901.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,059,098.50 : 92,506,915.69 = 92,506,915.69 : x
  2. Step 2: Convert to fraction form
    45,059,098.50/92,506,915.69 = 92,506,915.69/x
  3. Step 3: Cross multiply
    45,059,098.50x = 92,506,915.69 × 92,506,915.69
  4. Step 4: Simplify right side
    45,059,098.50x = 8,557,529,450,014,234
  5. Step 5: Solve for x
    x = 8,557,529,450,014,234/45,059,098.50
  6. Step 6: Final answer
    x = 189,917,901.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.