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Finding the Third Proportional to 184,991,518,062 and 294,357,871,638

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Solution

The third proportional to 184,991,518,062 and 294,357,871,638 is: 468,381,239,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,991,518,062 : 294,357,871,638 = 294,357,871,638 : x
  2. Step 2: Convert to fraction form
    184,991,518,062/294,357,871,638 = 294,357,871,638/x
  3. Step 3: Cross multiply
    184,991,518,062x = 294,357,871,638 × 294,357,871,638
  4. Step 4: Simplify right side
    184,991,518,062x = 86,646,556,595,253,288,108,032
  5. Step 5: Solve for x
    x = 86,646,556,595,253,288,108,032/184,991,518,062
  6. Step 6: Final answer
    x = 468,381,239,869.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.