Home / 144,168,076.41-314,533,896.75

Finding the Third Proportional to 144,168,076.41 and 314,533,896.75

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Solution

The third proportional to 144,168,076.41 and 314,533,896.75 is: 686,223,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,168,076.41 : 314,533,896.75 = 314,533,896.75 : x
  2. Step 2: Convert to fraction form
    144,168,076.41/314,533,896.75 = 314,533,896.75/x
  3. Step 3: Cross multiply
    144,168,076.41x = 314,533,896.75 × 314,533,896.75
  4. Step 4: Simplify right side
    144,168,076.41x = 98,931,572,204,739,664
  5. Step 5: Solve for x
    x = 98,931,572,204,739,664/144,168,076.41
  6. Step 6: Final answer
    x = 686,223,848.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.