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Finding the Third Proportional to 97,592,907 and 130,109,332.50

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Solution

The third proportional to 97,592,907 and 130,109,332.50 is: 173,459,720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,592,907 : 130,109,332.50 = 130,109,332.50 : x
  2. Step 2: Convert to fraction form
    97,592,907/130,109,332.50 = 130,109,332.50/x
  3. Step 3: Cross multiply
    97,592,907x = 130,109,332.50 × 130,109,332.50
  4. Step 4: Simplify right side
    97,592,907x = 16,928,438,403,595,556
  5. Step 5: Solve for x
    x = 16,928,438,403,595,556/97,592,907
  6. Step 6: Final answer
    x = 173,459,720.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.