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Finding the Third Proportional to 185,103,232,863 and 260,666,141,160

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Solution

The third proportional to 185,103,232,863 and 260,666,141,160 is: 367,075,367,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,103,232,863 : 260,666,141,160 = 260,666,141,160 : x
  2. Step 2: Convert to fraction form
    185,103,232,863/260,666,141,160 = 260,666,141,160/x
  3. Step 3: Cross multiply
    185,103,232,863x = 260,666,141,160 × 260,666,141,160
  4. Step 4: Simplify right side
    185,103,232,863x = 67,946,837,147,245,044,826,112
  5. Step 5: Solve for x
    x = 67,946,837,147,245,044,826,112/185,103,232,863
  6. Step 6: Final answer
    x = 367,075,367,060.36

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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.