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Finding the Third Proportional to 144,228,657 and 340,128,199.50

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Solution

The third proportional to 144,228,657 and 340,128,199.50 is: 802,109,611.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,228,657 : 340,128,199.50 = 340,128,199.50 : x
  2. Step 2: Convert to fraction form
    144,228,657/340,128,199.50 = 340,128,199.50/x
  3. Step 3: Cross multiply
    144,228,657x = 340,128,199.50 × 340,128,199.50
  4. Step 4: Simplify right side
    144,228,657x = 115,687,192,095,111,808
  5. Step 5: Solve for x
    x = 115,687,192,095,111,808/144,228,657
  6. Step 6: Final answer
    x = 802,109,611.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.