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Finding the Third Proportional to 162,071,454 and 354,880,464

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Solution

The third proportional to 162,071,454 and 354,880,464 is: 777,065,551.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,071,454 : 354,880,464 = 354,880,464 : x
  2. Step 2: Convert to fraction form
    162,071,454/354,880,464 = 354,880,464/x
  3. Step 3: Cross multiply
    162,071,454x = 354,880,464 × 354,880,464
  4. Step 4: Simplify right side
    162,071,454x = 125,940,143,728,855,296
  5. Step 5: Solve for x
    x = 125,940,143,728,855,296/162,071,454
  6. Step 6: Final answer
    x = 777,065,551.15

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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.