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Finding the Third Proportional to 82,027,225.50 and 119,926,669.50

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Solution

The third proportional to 82,027,225.50 and 119,926,669.50 is: 175,336,980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,027,225.50 : 119,926,669.50 = 119,926,669.50 : x
  2. Step 2: Convert to fraction form
    82,027,225.50/119,926,669.50 = 119,926,669.50/x
  3. Step 3: Cross multiply
    82,027,225.50x = 119,926,669.50 × 119,926,669.50
  4. Step 4: Simplify right side
    82,027,225.50x = 14,382,406,057,362,230
  5. Step 5: Solve for x
    x = 14,382,406,057,362,230/82,027,225.50
  6. Step 6: Final answer
    x = 175,336,980.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.