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Finding the Third Proportional to 258,836,647.50 and 364,071,028.50

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Solution

The third proportional to 258,836,647.50 and 364,071,028.50 is: 512,090,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,836,647.50 : 364,071,028.50 = 364,071,028.50 : x
  2. Step 2: Convert to fraction form
    258,836,647.50/364,071,028.50 = 364,071,028.50/x
  3. Step 3: Cross multiply
    258,836,647.50x = 364,071,028.50 × 364,071,028.50
  4. Step 4: Simplify right side
    258,836,647.50x = 132,547,713,793,047,808
  5. Step 5: Solve for x
    x = 132,547,713,793,047,808/258,836,647.50
  6. Step 6: Final answer
    x = 512,090,212.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.