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Finding the Third Proportional to 290,868,516 and 463,053,084

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Solution

The third proportional to 290,868,516 and 463,053,084 is: 737,165,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,868,516 : 463,053,084 = 463,053,084 : x
  2. Step 2: Convert to fraction form
    290,868,516/463,053,084 = 463,053,084/x
  3. Step 3: Cross multiply
    290,868,516x = 463,053,084 × 463,053,084
  4. Step 4: Simplify right side
    290,868,516x = 214,418,158,601,911,040
  5. Step 5: Solve for x
    x = 214,418,158,601,911,040/290,868,516
  6. Step 6: Final answer
    x = 737,165,237.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.