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Finding the Third Proportional to 145,826,182 and 213,202,971

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Solution

The third proportional to 145,826,182 and 213,202,971 is: 311,710,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,826,182 : 213,202,971 = 213,202,971 : x
  2. Step 2: Convert to fraction form
    145,826,182/213,202,971 = 213,202,971/x
  3. Step 3: Cross multiply
    145,826,182x = 213,202,971 × 213,202,971
  4. Step 4: Simplify right side
    145,826,182x = 45,455,506,843,226,840
  5. Step 5: Solve for x
    x = 45,455,506,843,226,840/145,826,182
  6. Step 6: Final answer
    x = 311,710,189.62

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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.