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Finding the Third Proportional to 98,889,460 and 145,475,430

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Solution

The third proportional to 98,889,460 and 145,475,430 is: 214,007,647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,889,460 : 145,475,430 = 145,475,430 : x
  2. Step 2: Convert to fraction form
    98,889,460/145,475,430 = 145,475,430/x
  3. Step 3: Cross multiply
    98,889,460x = 145,475,430 × 145,475,430
  4. Step 4: Simplify right side
    98,889,460x = 21,163,100,733,684,900
  5. Step 5: Solve for x
    x = 21,163,100,733,684,900/98,889,460
  6. Step 6: Final answer
    x = 214,007,647.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.