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Finding the Third Proportional to 152,778,400 and 242,316,026

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Solution

The third proportional to 152,778,400 and 242,316,026 is: 384,328,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,778,400 : 242,316,026 = 242,316,026 : x
  2. Step 2: Convert to fraction form
    152,778,400/242,316,026 = 242,316,026/x
  3. Step 3: Cross multiply
    152,778,400x = 242,316,026 × 242,316,026
  4. Step 4: Simplify right side
    152,778,400x = 58,717,056,456,432,672
  5. Step 5: Solve for x
    x = 58,717,056,456,432,672/152,778,400
  6. Step 6: Final answer
    x = 384,328,258.81

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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.