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Finding the Third Proportional to 215,466,924 and 334,315,813.50

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Solution

The third proportional to 215,466,924 and 334,315,813.50 is: 518,720,280.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,466,924 : 334,315,813.50 = 334,315,813.50 : x
  2. Step 2: Convert to fraction form
    215,466,924/334,315,813.50 = 334,315,813.50/x
  3. Step 3: Cross multiply
    215,466,924x = 334,315,813.50 × 334,315,813.50
  4. Step 4: Simplify right side
    215,466,924x = 111,767,063,156,166,784
  5. Step 5: Solve for x
    x = 111,767,063,156,166,784/215,466,924
  6. Step 6: Final answer
    x = 518,720,280.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.