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Finding the Third Proportional to 212,779,112 and 465,371,344

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Solution

The third proportional to 212,779,112 and 465,371,344 is: 1,017,818,364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,779,112 : 465,371,344 = 465,371,344 : x
  2. Step 2: Convert to fraction form
    212,779,112/465,371,344 = 465,371,344/x
  3. Step 3: Cross multiply
    212,779,112x = 465,371,344 × 465,371,344
  4. Step 4: Simplify right side
    212,779,112x = 216,570,487,816,366,336
  5. Step 5: Solve for x
    x = 216,570,487,816,366,336/212,779,112
  6. Step 6: Final answer
    x = 1,017,818,364.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.