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Finding the Third Proportional to 190,774,243 and 413,241,502

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Solution

The third proportional to 190,774,243 and 413,241,502 is: 895,134,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,774,243 : 413,241,502 = 413,241,502 : x
  2. Step 2: Convert to fraction form
    190,774,243/413,241,502 = 413,241,502/x
  3. Step 3: Cross multiply
    190,774,243x = 413,241,502 × 413,241,502
  4. Step 4: Simplify right side
    190,774,243x = 170,768,538,975,216,000
  5. Step 5: Solve for x
    x = 170,768,538,975,216,000/190,774,243
  6. Step 6: Final answer
    x = 895,134,145.42

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