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Finding the Third Proportional to 461,094,172.50 and 988,087,029.50

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Solution

The third proportional to 461,094,172.50 and 988,087,029.50 is: 2,117,389,540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,094,172.50 : 988,087,029.50 = 988,087,029.50 : x
  2. Step 2: Convert to fraction form
    461,094,172.50/988,087,029.50 = 988,087,029.50/x
  3. Step 3: Cross multiply
    461,094,172.50x = 988,087,029.50 × 988,087,029.50
  4. Step 4: Simplify right side
    461,094,172.50x = 976,315,977,866,133,888
  5. Step 5: Solve for x
    x = 976,315,977,866,133,888/461,094,172.50
  6. Step 6: Final answer
    x = 2,117,389,540.13

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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.