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Finding the Third Proportional to 106,302,537 and 152,012,538

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Solution

The third proportional to 106,302,537 and 152,012,538 is: 217,377,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,302,537 : 152,012,538 = 152,012,538 : x
  2. Step 2: Convert to fraction form
    106,302,537/152,012,538 = 152,012,538/x
  3. Step 3: Cross multiply
    106,302,537x = 152,012,538 × 152,012,538
  4. Step 4: Simplify right side
    106,302,537x = 23,107,811,709,201,444
  5. Step 5: Solve for x
    x = 23,107,811,709,201,444/106,302,537
  6. Step 6: Final answer
    x = 217,377,800.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.