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Finding the Third Proportional to 147,848,459.63 and 229,837,008.94

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Solution

The third proportional to 147,848,459.63 and 229,837,008.94 is: 357,291,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,848,459.63 : 229,837,008.94 = 229,837,008.94 : x
  2. Step 2: Convert to fraction form
    147,848,459.63/229,837,008.94 = 229,837,008.94/x
  3. Step 3: Cross multiply
    147,848,459.63x = 229,837,008.94 × 229,837,008.94
  4. Step 4: Simplify right side
    147,848,459.63x = 52,825,050,677,336,456
  5. Step 5: Solve for x
    x = 52,825,050,677,336,456/147,848,459.63
  6. Step 6: Final answer
    x = 357,291,856.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.