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Finding the Third Proportional to 152,254,176 and 217,043,856

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Solution

The third proportional to 152,254,176 and 217,043,856 is: 309,403,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,254,176 : 217,043,856 = 217,043,856 : x
  2. Step 2: Convert to fraction form
    152,254,176/217,043,856 = 217,043,856/x
  3. Step 3: Cross multiply
    152,254,176x = 217,043,856 × 217,043,856
  4. Step 4: Simplify right side
    152,254,176x = 47,108,035,427,348,736
  5. Step 5: Solve for x
    x = 47,108,035,427,348,736/152,254,176
  6. Step 6: Final answer
    x = 309,403,897.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.