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Finding the Third Proportional to 208,248,021 and 304,706,258

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Solution

The third proportional to 208,248,021 and 304,706,258 is: 445,842,909.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,248,021 : 304,706,258 = 304,706,258 : x
  2. Step 2: Convert to fraction form
    208,248,021/304,706,258 = 304,706,258/x
  3. Step 3: Cross multiply
    208,248,021x = 304,706,258 × 304,706,258
  4. Step 4: Simplify right side
    208,248,021x = 92,845,903,664,362,560
  5. Step 5: Solve for x
    x = 92,845,903,664,362,560/208,248,021
  6. Step 6: Final answer
    x = 445,842,909.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.