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Finding the Third Proportional to 350,222,868 and 537,203,154

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Solution

The third proportional to 350,222,868 and 537,203,154 is: 824,010,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,222,868 : 537,203,154 = 537,203,154 : x
  2. Step 2: Convert to fraction form
    350,222,868/537,203,154 = 537,203,154/x
  3. Step 3: Cross multiply
    350,222,868x = 537,203,154 × 537,203,154
  4. Step 4: Simplify right side
    350,222,868x = 288,587,228,667,547,712
  5. Step 5: Solve for x
    x = 288,587,228,667,547,712/350,222,868
  6. Step 6: Final answer
    x = 824,010,237.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.