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Finding the Third Proportional to 134,701,868.25 and 197,013,953.25

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Solution

The third proportional to 134,701,868.25 and 197,013,953.25 is: 288,151,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,701,868.25 : 197,013,953.25 = 197,013,953.25 : x
  2. Step 2: Convert to fraction form
    134,701,868.25/197,013,953.25 = 197,013,953.25/x
  3. Step 3: Cross multiply
    134,701,868.25x = 197,013,953.25 × 197,013,953.25
  4. Step 4: Simplify right side
    134,701,868.25x = 38,814,497,775,193,184
  5. Step 5: Solve for x
    x = 38,814,497,775,193,184/134,701,868.25
  6. Step 6: Final answer
    x = 288,151,146.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.