Home / 165,014,047.13-349,698,701.25

Finding the Third Proportional to 165,014,047.13 and 349,698,701.25

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Solution

The third proportional to 165,014,047.13 and 349,698,701.25 is: 741,083,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,014,047.13 : 349,698,701.25 = 349,698,701.25 : x
  2. Step 2: Convert to fraction form
    165,014,047.13/349,698,701.25 = 349,698,701.25/x
  3. Step 3: Cross multiply
    165,014,047.13x = 349,698,701.25 × 349,698,701.25
  4. Step 4: Simplify right side
    165,014,047.13x = 122,289,181,655,936,752
  5. Step 5: Solve for x
    x = 122,289,181,655,936,752/165,014,047.13
  6. Step 6: Final answer
    x = 741,083,464.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.