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Finding the Third Proportional to 258,609,156.50 and 387,535,440

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Solution

The third proportional to 258,609,156.50 and 387,535,440 is: 580,736,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,609,156.50 : 387,535,440 = 387,535,440 : x
  2. Step 2: Convert to fraction form
    258,609,156.50/387,535,440 = 387,535,440/x
  3. Step 3: Cross multiply
    258,609,156.50x = 387,535,440 × 387,535,440
  4. Step 4: Simplify right side
    258,609,156.50x = 150,183,717,255,993,600
  5. Step 5: Solve for x
    x = 150,183,717,255,993,600/258,609,156.50
  6. Step 6: Final answer
    x = 580,736,271.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.