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Finding the Third Proportional to 50,365,122.50 and 109,597,547

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Solution

The third proportional to 50,365,122.50 and 109,597,547 is: 238,490,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,365,122.50 : 109,597,547 = 109,597,547 : x
  2. Step 2: Convert to fraction form
    50,365,122.50/109,597,547 = 109,597,547/x
  3. Step 3: Cross multiply
    50,365,122.50x = 109,597,547 × 109,597,547
  4. Step 4: Simplify right side
    50,365,122.50x = 12,011,622,308,417,208
  5. Step 5: Solve for x
    x = 12,011,622,308,417,208/50,365,122.50
  6. Step 6: Final answer
    x = 238,490,878.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.