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Finding the Third Proportional to 136,038,860.86 and 277,787,705.34

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Solution

The third proportional to 136,038,860.86 and 277,787,705.34 is: 567,235,044.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,038,860.86 : 277,787,705.34 = 277,787,705.34 : x
  2. Step 2: Convert to fraction form
    136,038,860.86/277,787,705.34 = 277,787,705.34/x
  3. Step 3: Cross multiply
    136,038,860.86x = 277,787,705.34 × 277,787,705.34
  4. Step 4: Simplify right side
    136,038,860.86x = 77,166,009,240,146,080
  5. Step 5: Solve for x
    x = 77,166,009,240,146,080/136,038,860.86
  6. Step 6: Final answer
    x = 567,235,044.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.