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Finding the Third Proportional to 127,664,129 and 202,184,076

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Solution

The third proportional to 127,664,129 and 202,184,076 is: 320,202,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,664,129 : 202,184,076 = 202,184,076 : x
  2. Step 2: Convert to fraction form
    127,664,129/202,184,076 = 202,184,076/x
  3. Step 3: Cross multiply
    127,664,129x = 202,184,076 × 202,184,076
  4. Step 4: Simplify right side
    127,664,129x = 40,878,400,587,973,776
  5. Step 5: Solve for x
    x = 40,878,400,587,973,776/127,664,129
  6. Step 6: Final answer
    x = 320,202,714.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.