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Finding the Third Proportional to 175,835,618 and 258,486,158

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Solution

The third proportional to 175,835,618 and 258,486,158 is: 379,986,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,835,618 : 258,486,158 = 258,486,158 : x
  2. Step 2: Convert to fraction form
    175,835,618/258,486,158 = 258,486,158/x
  3. Step 3: Cross multiply
    175,835,618x = 258,486,158 × 258,486,158
  4. Step 4: Simplify right side
    175,835,618x = 66,815,093,877,600,960
  5. Step 5: Solve for x
    x = 66,815,093,877,600,960/175,835,618
  6. Step 6: Final answer
    x = 379,986,117.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.