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Finding the Third Proportional to 118,440,259.88 and 184,119,301.13

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Solution

The third proportional to 118,440,259.88 and 184,119,301.13 is: 286,219,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,440,259.88 : 184,119,301.13 = 184,119,301.13 : x
  2. Step 2: Convert to fraction form
    118,440,259.88/184,119,301.13 = 184,119,301.13/x
  3. Step 3: Cross multiply
    118,440,259.88x = 184,119,301.13 × 184,119,301.13
  4. Step 4: Simplify right side
    118,440,259.88x = 33,899,917,046,758,428
  5. Step 5: Solve for x
    x = 33,899,917,046,758,428/118,440,259.88
  6. Step 6: Final answer
    x = 286,219,542.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.