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Finding the Third Proportional to 114,607,988 and 247,365,712

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Solution

The third proportional to 114,607,988 and 247,365,712 is: 533,905,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,607,988 : 247,365,712 = 247,365,712 : x
  2. Step 2: Convert to fraction form
    114,607,988/247,365,712 = 247,365,712/x
  3. Step 3: Cross multiply
    114,607,988x = 247,365,712 × 247,365,712
  4. Step 4: Simplify right side
    114,607,988x = 61,189,795,473,266,944
  5. Step 5: Solve for x
    x = 61,189,795,473,266,944/114,607,988
  6. Step 6: Final answer
    x = 533,905,153.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.