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Finding the Third Proportional to 86,018,997,891 and 134,938,425,433

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Solution

The third proportional to 86,018,997,891 and 134,938,425,433 is: 211,678,572,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,018,997,891 : 134,938,425,433 = 134,938,425,433 : x
  2. Step 2: Convert to fraction form
    86,018,997,891/134,938,425,433 = 134,938,425,433/x
  3. Step 3: Cross multiply
    86,018,997,891x = 134,938,425,433 × 134,938,425,433
  4. Step 4: Simplify right side
    86,018,997,891x = 18,208,378,658,337,301,987,328
  5. Step 5: Solve for x
    x = 18,208,378,658,337,301,987,328/86,018,997,891
  6. Step 6: Final answer
    x = 211,678,572,231.34

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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.