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Finding the Third Proportional to 86,090,973,256 and 121,182,232,300

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Solution

The third proportional to 86,090,973,256 and 121,182,232,300 is: 170,576,924,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,090,973,256 : 121,182,232,300 = 121,182,232,300 : x
  2. Step 2: Convert to fraction form
    86,090,973,256/121,182,232,300 = 121,182,232,300/x
  3. Step 3: Cross multiply
    86,090,973,256x = 121,182,232,300 × 121,182,232,300
  4. Step 4: Simplify right side
    86,090,973,256x = 14,685,133,425,211,162,492,928
  5. Step 5: Solve for x
    x = 14,685,133,425,211,162,492,928/86,090,973,256
  6. Step 6: Final answer
    x = 170,576,924,267.58

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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.