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Finding the Third Proportional to 98,889,462 and 145,475,433

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Solution

The third proportional to 98,889,462 and 145,475,433 is: 214,007,652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,889,462 : 145,475,433 = 145,475,433 : x
  2. Step 2: Convert to fraction form
    98,889,462/145,475,433 = 145,475,433/x
  3. Step 3: Cross multiply
    98,889,462x = 145,475,433 × 145,475,433
  4. Step 4: Simplify right side
    98,889,462x = 21,163,101,606,537,488
  5. Step 5: Solve for x
    x = 21,163,101,606,537,488/98,889,462
  6. Step 6: Final answer
    x = 214,007,652.37

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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.