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Finding the Third Proportional to 134,531,801,258 and 189,209,977,225

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Solution

The third proportional to 134,531,801,258 and 189,209,977,225 is: 266,111,173,319.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,531,801,258 : 189,209,977,225 = 189,209,977,225 : x
  2. Step 2: Convert to fraction form
    134,531,801,258/189,209,977,225 = 189,209,977,225/x
  3. Step 3: Cross multiply
    134,531,801,258x = 189,209,977,225 × 189,209,977,225
  4. Step 4: Simplify right side
    134,531,801,258x = 35,800,415,481,485,020,102,656
  5. Step 5: Solve for x
    x = 35,800,415,481,485,020,102,656/134,531,801,258
  6. Step 6: Final answer
    x = 266,111,173,319.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.