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Finding the Third Proportional to 197,830,552 and 302,620,440

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Solution

The third proportional to 197,830,552 and 302,620,440 is: 462,917,025.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,830,552 : 302,620,440 = 302,620,440 : x
  2. Step 2: Convert to fraction form
    197,830,552/302,620,440 = 302,620,440/x
  3. Step 3: Cross multiply
    197,830,552x = 302,620,440 × 302,620,440
  4. Step 4: Simplify right side
    197,830,552x = 91,579,130,705,793,600
  5. Step 5: Solve for x
    x = 91,579,130,705,793,600/197,830,552
  6. Step 6: Final answer
    x = 462,917,025.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.