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Finding the Third Proportional to 141,709,000.50 and 211,825,752.75

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Solution

The third proportional to 141,709,000.50 and 211,825,752.75 is: 316,635,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,709,000.50 : 211,825,752.75 = 211,825,752.75 : x
  2. Step 2: Convert to fraction form
    141,709,000.50/211,825,752.75 = 211,825,752.75/x
  3. Step 3: Cross multiply
    141,709,000.50x = 211,825,752.75 × 211,825,752.75
  4. Step 4: Simplify right side
    141,709,000.50x = 44,870,149,528,104,136
  5. Step 5: Solve for x
    x = 44,870,149,528,104,136/141,709,000.50
  6. Step 6: Final answer
    x = 316,635,847.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.