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Finding the Third Proportional to 134,464,970 and 197,852,352

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Solution

The third proportional to 134,464,970 and 197,852,352 is: 291,120,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,464,970 : 197,852,352 = 197,852,352 : x
  2. Step 2: Convert to fraction form
    134,464,970/197,852,352 = 197,852,352/x
  3. Step 3: Cross multiply
    134,464,970x = 197,852,352 × 197,852,352
  4. Step 4: Simplify right side
    134,464,970x = 39,145,553,191,931,904
  5. Step 5: Solve for x
    x = 39,145,553,191,931,904/134,464,970
  6. Step 6: Final answer
    x = 291,120,826.43

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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.