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Finding the Third Proportional to 172,273,140 and 264,796,160

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Solution

The third proportional to 172,273,140 and 264,796,160 is: 407,010,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,273,140 : 264,796,160 = 264,796,160 : x
  2. Step 2: Convert to fraction form
    172,273,140/264,796,160 = 264,796,160/x
  3. Step 3: Cross multiply
    172,273,140x = 264,796,160 × 264,796,160
  4. Step 4: Simplify right side
    172,273,140x = 70,117,006,350,745,600
  5. Step 5: Solve for x
    x = 70,117,006,350,745,600/172,273,140
  6. Step 6: Final answer
    x = 407,010,671.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.