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Finding the Third Proportional to 86,018,997,893 and 134,938,425,436

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Solution

The third proportional to 86,018,997,893 and 134,938,425,436 is: 211,678,572,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,018,997,893 : 134,938,425,436 = 134,938,425,436 : x
  2. Step 2: Convert to fraction form
    86,018,997,893/134,938,425,436 = 134,938,425,436/x
  3. Step 3: Cross multiply
    86,018,997,893x = 134,938,425,436 × 134,938,425,436
  4. Step 4: Simplify right side
    86,018,997,893x = 18,208,378,659,146,932,682,752
  5. Step 5: Solve for x
    x = 18,208,378,659,146,932,682,752/86,018,997,893
  6. Step 6: Final answer
    x = 211,678,572,235.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.