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Finding the Third Proportional to 155,219,272 and 258,683,196

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Solution

The third proportional to 155,219,272 and 258,683,196 is: 431,112,677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,219,272 : 258,683,196 = 258,683,196 : x
  2. Step 2: Convert to fraction form
    155,219,272/258,683,196 = 258,683,196/x
  3. Step 3: Cross multiply
    155,219,272x = 258,683,196 × 258,683,196
  4. Step 4: Simplify right side
    155,219,272x = 66,916,995,892,774,416
  5. Step 5: Solve for x
    x = 66,916,995,892,774,416/155,219,272
  6. Step 6: Final answer
    x = 431,112,677.12

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.