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Finding the Third Proportional to 52,927,069.50 and 114,648,978.38

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Solution

The third proportional to 52,927,069.50 and 114,648,978.38 is: 248,349,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,927,069.50 : 114,648,978.38 = 114,648,978.38 : x
  2. Step 2: Convert to fraction form
    52,927,069.50/114,648,978.38 = 114,648,978.38/x
  3. Step 3: Cross multiply
    52,927,069.50x = 114,648,978.38 × 114,648,978.38
  4. Step 4: Simplify right side
    52,927,069.50x = 13,144,388,242,431,218
  5. Step 5: Solve for x
    x = 13,144,388,242,431,218/52,927,069.50
  6. Step 6: Final answer
    x = 248,349,065.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.