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Finding the Third Proportional to 67,298,206.50 and 146,406,213

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Solution

The third proportional to 67,298,206.50 and 146,406,213 is: 318,504,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,298,206.50 : 146,406,213 = 146,406,213 : x
  2. Step 2: Convert to fraction form
    67,298,206.50/146,406,213 = 146,406,213/x
  3. Step 3: Cross multiply
    67,298,206.50x = 146,406,213 × 146,406,213
  4. Step 4: Simplify right side
    67,298,206.50x = 21,434,779,205,001,368
  5. Step 5: Solve for x
    x = 21,434,779,205,001,368/67,298,206.50
  6. Step 6: Final answer
    x = 318,504,464.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.