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Finding the Third Proportional to 185,103,238,660 and 260,666,148,894

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Solution

The third proportional to 185,103,238,660 and 260,666,148,894 is: 367,075,377,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,103,238,660 : 260,666,148,894 = 260,666,148,894 : x
  2. Step 2: Convert to fraction form
    185,103,238,660/260,666,148,894 = 260,666,148,894/x
  3. Step 3: Cross multiply
    185,103,238,660x = 260,666,148,894 × 260,666,148,894
  4. Step 4: Simplify right side
    185,103,238,660x = 67,946,841,179,228,976,709,632
  5. Step 5: Solve for x
    x = 67,946,841,179,228,976,709,632/185,103,238,660
  6. Step 6: Final answer
    x = 367,075,377,346.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.