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Finding the Third Proportional to 215,967,725 and 347,779,196

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Solution

The third proportional to 215,967,725 and 347,779,196 is: 560,039,094.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,967,725 : 347,779,196 = 347,779,196 : x
  2. Step 2: Convert to fraction form
    215,967,725/347,779,196 = 347,779,196/x
  3. Step 3: Cross multiply
    215,967,725x = 347,779,196 × 347,779,196
  4. Step 4: Simplify right side
    215,967,725x = 120,950,369,170,406,416
  5. Step 5: Solve for x
    x = 120,950,369,170,406,416/215,967,725
  6. Step 6: Final answer
    x = 560,039,094.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.