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Finding the Third Proportional to 190,632,965 and 294,576,541

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Solution

The third proportional to 190,632,965 and 294,576,541 is: 455,195,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,632,965 : 294,576,541 = 294,576,541 : x
  2. Step 2: Convert to fraction form
    190,632,965/294,576,541 = 294,576,541/x
  3. Step 3: Cross multiply
    190,632,965x = 294,576,541 × 294,576,541
  4. Step 4: Simplify right side
    190,632,965x = 86,775,338,507,524,688
  5. Step 5: Solve for x
    x = 86,775,338,507,524,688/190,632,965
  6. Step 6: Final answer
    x = 455,195,870.81

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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.