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Finding the Third Proportional to 45,904,386 and 96,989,926.50

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Solution

The third proportional to 45,904,386 and 96,989,926.50 is: 204,926,950.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,904,386 : 96,989,926.50 = 96,989,926.50 : x
  2. Step 2: Convert to fraction form
    45,904,386/96,989,926.50 = 96,989,926.50/x
  3. Step 3: Cross multiply
    45,904,386x = 96,989,926.50 × 96,989,926.50
  4. Step 4: Simplify right side
    45,904,386x = 9,407,045,842,475,402
  5. Step 5: Solve for x
    x = 9,407,045,842,475,402/45,904,386
  6. Step 6: Final answer
    x = 204,926,950.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.