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Finding the Third Proportional to 64,841,389.10 and 100,292,035.46

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Solution

The third proportional to 64,841,389.10 and 100,292,035.46 is: 155,124,566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,841,389.10 : 100,292,035.46 = 100,292,035.46 : x
  2. Step 2: Convert to fraction form
    64,841,389.10/100,292,035.46 = 100,292,035.46/x
  3. Step 3: Cross multiply
    64,841,389.10x = 100,292,035.46 × 100,292,035.46
  4. Step 4: Simplify right side
    64,841,389.10x = 10,058,492,377,680,724
  5. Step 5: Solve for x
    x = 10,058,492,377,680,724/64,841,389.10
  6. Step 6: Final answer
    x = 155,124,566.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.