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Finding the Third Proportional to 234,088,346 and 509,385,700

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Solution

The third proportional to 234,088,346 and 509,385,700 is: 1,108,443,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,088,346 : 509,385,700 = 509,385,700 : x
  2. Step 2: Convert to fraction form
    234,088,346/509,385,700 = 509,385,700/x
  3. Step 3: Cross multiply
    234,088,346x = 509,385,700 × 509,385,700
  4. Step 4: Simplify right side
    234,088,346x = 259,473,791,364,489,984
  5. Step 5: Solve for x
    x = 259,473,791,364,489,984/234,088,346
  6. Step 6: Final answer
    x = 1,108,443,866.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.