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Finding the Third Proportional to 98,349,674 and 144,335,853

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Solution

The third proportional to 98,349,674 and 144,335,853 is: 211,824,174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,349,674 : 144,335,853 = 144,335,853 : x
  2. Step 2: Convert to fraction form
    98,349,674/144,335,853 = 144,335,853/x
  3. Step 3: Cross multiply
    98,349,674x = 144,335,853 × 144,335,853
  4. Step 4: Simplify right side
    98,349,674x = 20,832,838,461,237,608
  5. Step 5: Solve for x
    x = 20,832,838,461,237,608/98,349,674
  6. Step 6: Final answer
    x = 211,824,174.03

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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.