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Finding the Third Proportional to 117,087,021,045 and 157,977,880,680.38

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Solution

The third proportional to 117,087,021,045 and 157,977,880,680.38 is: 213,149,250,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,087,021,045 : 157,977,880,680.38 = 157,977,880,680.38 : x
  2. Step 2: Convert to fraction form
    117,087,021,045/157,977,880,680.38 = 157,977,880,680.38/x
  3. Step 3: Cross multiply
    117,087,021,045x = 157,977,880,680.38 × 157,977,880,680.38
  4. Step 4: Simplify right side
    117,087,021,045x = 24,957,010,784,264,382,316,544
  5. Step 5: Solve for x
    x = 24,957,010,784,264,382,316,544/117,087,021,045
  6. Step 6: Final answer
    x = 213,149,250,544.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.