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Finding the Third Proportional to 190,774,230 and 413,241,475

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Solution

The third proportional to 190,774,230 and 413,241,475 is: 895,134,089.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,774,230 : 413,241,475 = 413,241,475 : x
  2. Step 2: Convert to fraction form
    190,774,230/413,241,475 = 413,241,475/x
  3. Step 3: Cross multiply
    190,774,230x = 413,241,475 × 413,241,475
  4. Step 4: Simplify right side
    190,774,230x = 170,768,516,660,175,616
  5. Step 5: Solve for x
    x = 170,768,516,660,175,616/190,774,230
  6. Step 6: Final answer
    x = 895,134,089.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.