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Finding the Third Proportional to 185,103,232,872 and 260,666,141,172

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Solution

The third proportional to 185,103,232,872 and 260,666,141,172 is: 367,075,367,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,103,232,872 : 260,666,141,172 = 260,666,141,172 : x
  2. Step 2: Convert to fraction form
    185,103,232,872/260,666,141,172 = 260,666,141,172/x
  3. Step 3: Cross multiply
    185,103,232,872x = 260,666,141,172 × 260,666,141,172
  4. Step 4: Simplify right side
    185,103,232,872x = 67,946,837,153,501,033,791,488
  5. Step 5: Solve for x
    x = 67,946,837,153,501,033,791,488/185,103,232,872
  6. Step 6: Final answer
    x = 367,075,367,076.31

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