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Finding the Third Proportional to 134,531,801,256 and 189,209,977,222

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Solution

The third proportional to 134,531,801,256 and 189,209,977,222 is: 266,111,173,314.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,531,801,256 : 189,209,977,222 = 189,209,977,222 : x
  2. Step 2: Convert to fraction form
    134,531,801,256/189,209,977,222 = 189,209,977,222/x
  3. Step 3: Cross multiply
    134,531,801,256x = 189,209,977,222 × 189,209,977,222
  4. Step 4: Simplify right side
    134,531,801,256x = 35,800,415,480,349,760,421,888
  5. Step 5: Solve for x
    x = 35,800,415,480,349,760,421,888/134,531,801,256
  6. Step 6: Final answer
    x = 266,111,173,314.52

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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.