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Finding the Third Proportional to 98,889,478 and 145,475,457

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Solution

The third proportional to 98,889,478 and 145,475,457 is: 214,007,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,889,478 : 145,475,457 = 145,475,457 : x
  2. Step 2: Convert to fraction form
    98,889,478/145,475,457 = 145,475,457/x
  3. Step 3: Cross multiply
    98,889,478x = 145,475,457 × 145,475,457
  4. Step 4: Simplify right side
    98,889,478x = 21,163,108,589,358,848
  5. Step 5: Solve for x
    x = 21,163,108,589,358,848/98,889,478
  6. Step 6: Final answer
    x = 214,007,688.35

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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.