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Finding the Third Proportional to 184,991,518,200 and 294,357,871,854

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Solution

The third proportional to 184,991,518,200 and 294,357,871,854 is: 468,381,240,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,991,518,200 : 294,357,871,854 = 294,357,871,854 : x
  2. Step 2: Convert to fraction form
    184,991,518,200/294,357,871,854 = 294,357,871,854/x
  3. Step 3: Cross multiply
    184,991,518,200x = 294,357,871,854 × 294,357,871,854
  4. Step 4: Simplify right side
    184,991,518,200x = 86,646,556,722,415,878,012,928
  5. Step 5: Solve for x
    x = 86,646,556,722,415,878,012,928/184,991,518,200
  6. Step 6: Final answer
    x = 468,381,240,207.67

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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.