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Finding the Third Proportional to 42,267,939,291 and 90,586,406,416.50

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Solution

The third proportional to 42,267,939,291 and 90,586,406,416.50 is: 194,139,983,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,267,939,291 : 90,586,406,416.50 = 90,586,406,416.50 : x
  2. Step 2: Convert to fraction form
    42,267,939,291/90,586,406,416.50 = 90,586,406,416.50/x
  3. Step 3: Cross multiply
    42,267,939,291x = 90,586,406,416.50 × 90,586,406,416.50
  4. Step 4: Simplify right side
    42,267,939,291x = 8,205,897,027,455,312,461,824
  5. Step 5: Solve for x
    x = 8,205,897,027,455,312,461,824/42,267,939,291
  6. Step 6: Final answer
    x = 194,139,983,285.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.