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Finding the Third Proportional to 212,165,572 and 456,977,384

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Solution

The third proportional to 212,165,572 and 456,977,384 is: 984,270,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,165,572 : 456,977,384 = 456,977,384 : x
  2. Step 2: Convert to fraction form
    212,165,572/456,977,384 = 456,977,384/x
  3. Step 3: Cross multiply
    212,165,572x = 456,977,384 × 456,977,384
  4. Step 4: Simplify right side
    212,165,572x = 208,828,329,487,483,456
  5. Step 5: Solve for x
    x = 208,828,329,487,483,456/212,165,572
  6. Step 6: Final answer
    x = 984,270,574.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.