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Finding the Third Proportional to 166,609,970,340 and 253,813,075,488

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Solution

The third proportional to 166,609,970,340 and 253,813,075,488 is: 386,657,996,260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,609,970,340 : 253,813,075,488 = 253,813,075,488 : x
  2. Step 2: Convert to fraction form
    166,609,970,340/253,813,075,488 = 253,813,075,488/x
  3. Step 3: Cross multiply
    166,609,970,340x = 253,813,075,488 × 253,813,075,488
  4. Step 4: Simplify right side
    166,609,970,340x = 64,421,077,288,677,189,615,616
  5. Step 5: Solve for x
    x = 64,421,077,288,677,189,615,616/166,609,970,340
  6. Step 6: Final answer
    x = 386,657,996,260.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.