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Finding the Third Proportional to 134,464,968 and 197,852,349

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Solution

The third proportional to 134,464,968 and 197,852,349 is: 291,120,821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,464,968 : 197,852,349 = 197,852,349 : x
  2. Step 2: Convert to fraction form
    134,464,968/197,852,349 = 197,852,349/x
  3. Step 3: Cross multiply
    134,464,968x = 197,852,349 × 197,852,349
  4. Step 4: Simplify right side
    134,464,968x = 39,145,552,004,817,800
  5. Step 5: Solve for x
    x = 39,145,552,004,817,800/134,464,968
  6. Step 6: Final answer
    x = 291,120,821.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.