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Finding the Third Proportional to 97,776,642 and 146,676,637.50

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Solution

The third proportional to 97,776,642 and 146,676,637.50 is: 220,032,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,776,642 : 146,676,637.50 = 146,676,637.50 : x
  2. Step 2: Convert to fraction form
    97,776,642/146,676,637.50 = 146,676,637.50/x
  3. Step 3: Cross multiply
    97,776,642x = 146,676,637.50 × 146,676,637.50
  4. Step 4: Simplify right side
    97,776,642x = 21,514,035,988,306,408
  5. Step 5: Solve for x
    x = 21,514,035,988,306,408/97,776,642
  6. Step 6: Final answer
    x = 220,032,469.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.