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Finding the Third Proportional to 213,506,202 and 466,161,972

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Solution

The third proportional to 213,506,202 and 466,161,972 is: 1,017,801,741.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,506,202 : 466,161,972 = 466,161,972 : x
  2. Step 2: Convert to fraction form
    213,506,202/466,161,972 = 466,161,972/x
  3. Step 3: Cross multiply
    213,506,202x = 466,161,972 × 466,161,972
  4. Step 4: Simplify right side
    213,506,202x = 217,306,984,138,928,768
  5. Step 5: Solve for x
    x = 217,306,984,138,928,768/213,506,202
  6. Step 6: Final answer
    x = 1,017,801,741.14

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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.