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Finding the Third Proportional to 172,569,663 and 233,228,683.50

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Solution

The third proportional to 172,569,663 and 233,228,683.50 is: 315,209,625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,569,663 : 233,228,683.50 = 233,228,683.50 : x
  2. Step 2: Convert to fraction form
    172,569,663/233,228,683.50 = 233,228,683.50/x
  3. Step 3: Cross multiply
    172,569,663x = 233,228,683.50 × 233,228,683.50
  4. Step 4: Simplify right side
    172,569,663x = 54,395,618,807,143,176
  5. Step 5: Solve for x
    x = 54,395,618,807,143,176/172,569,663
  6. Step 6: Final answer
    x = 315,209,625.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.