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Finding the Third Proportional to 105,864,582 and 229,316,532

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Solution

The third proportional to 105,864,582 and 229,316,532 is: 496,729,603.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,864,582 : 229,316,532 = 229,316,532 : x
  2. Step 2: Convert to fraction form
    105,864,582/229,316,532 = 229,316,532/x
  3. Step 3: Cross multiply
    105,864,582x = 229,316,532 × 229,316,532
  4. Step 4: Simplify right side
    105,864,582x = 52,586,071,848,507,024
  5. Step 5: Solve for x
    x = 52,586,071,848,507,024/105,864,582
  6. Step 6: Final answer
    x = 496,729,603.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.