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Finding the Third Proportional to 70,642,905,090 and 108,583,209,945

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Solution

The third proportional to 70,642,905,090 and 108,583,209,945 is: 166,900,178,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,642,905,090 : 108,583,209,945 = 108,583,209,945 : x
  2. Step 2: Convert to fraction form
    70,642,905,090/108,583,209,945 = 108,583,209,945/x
  3. Step 3: Cross multiply
    70,642,905,090x = 108,583,209,945 × 108,583,209,945
  4. Step 4: Simplify right side
    70,642,905,090x = 11,790,313,481,959,947,370,496
  5. Step 5: Solve for x
    x = 11,790,313,481,959,947,370,496/70,642,905,090
  6. Step 6: Final answer
    x = 166,900,178,679.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.