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Finding the Third Proportional to 73,672,964 and 160,416,196

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Solution

The third proportional to 73,672,964 and 160,416,196 is: 349,291,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,672,964 : 160,416,196 = 160,416,196 : x
  2. Step 2: Convert to fraction form
    73,672,964/160,416,196 = 160,416,196/x
  3. Step 3: Cross multiply
    73,672,964x = 160,416,196 × 160,416,196
  4. Step 4: Simplify right side
    73,672,964x = 25,733,355,939,110,416
  5. Step 5: Solve for x
    x = 25,733,355,939,110,416/73,672,964
  6. Step 6: Final answer
    x = 349,291,714.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.