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Finding the Third Proportional to 119,013,142 and 183,905,646

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Solution

The third proportional to 119,013,142 and 183,905,646 is: 284,181,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,013,142 : 183,905,646 = 183,905,646 : x
  2. Step 2: Convert to fraction form
    119,013,142/183,905,646 = 183,905,646/x
  3. Step 3: Cross multiply
    119,013,142x = 183,905,646 × 183,905,646
  4. Step 4: Simplify right side
    119,013,142x = 33,821,286,630,677,316
  5. Step 5: Solve for x
    x = 33,821,286,630,677,316/119,013,142
  6. Step 6: Final answer
    x = 284,181,108.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.