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Finding the Third Proportional to 96,547,649 and 211,461,397

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Solution

The third proportional to 96,547,649 and 211,461,397 is: 463,148,744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,547,649 : 211,461,397 = 211,461,397 : x
  2. Step 2: Convert to fraction form
    96,547,649/211,461,397 = 211,461,397/x
  3. Step 3: Cross multiply
    96,547,649x = 211,461,397 × 211,461,397
  4. Step 4: Simplify right side
    96,547,649x = 44,715,922,421,191,608
  5. Step 5: Solve for x
    x = 44,715,922,421,191,608/96,547,649
  6. Step 6: Final answer
    x = 463,148,744.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.