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Finding the Third Proportional to 84,544,830 and 130,908,233.25

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Solution

The third proportional to 84,544,830 and 130,908,233.25 is: 202,696,788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,544,830 : 130,908,233.25 = 130,908,233.25 : x
  2. Step 2: Convert to fraction form
    84,544,830/130,908,233.25 = 130,908,233.25/x
  3. Step 3: Cross multiply
    84,544,830x = 130,908,233.25 × 130,908,233.25
  4. Step 4: Simplify right side
    84,544,830x = 17,136,965,532,636,406
  5. Step 5: Solve for x
    x = 17,136,965,532,636,406/84,544,830
  6. Step 6: Final answer
    x = 202,696,788.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.