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Finding the Third Proportional to 69,520,990.50 and 105,176,254.50

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Solution

The third proportional to 69,520,990.50 and 105,176,254.50 is: 159,118,050.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,520,990.50 : 105,176,254.50 = 105,176,254.50 : x
  2. Step 2: Convert to fraction form
    69,520,990.50/105,176,254.50 = 105,176,254.50/x
  3. Step 3: Cross multiply
    69,520,990.50x = 105,176,254.50 × 105,176,254.50
  4. Step 4: Simplify right side
    69,520,990.50x = 11,062,044,510,648,770
  5. Step 5: Solve for x
    x = 11,062,044,510,648,770/69,520,990.50
  6. Step 6: Final answer
    x = 159,118,050.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.