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Finding the Third Proportional to 115,140,547.50 and 164,652,337.50

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Solution

The third proportional to 115,140,547.50 and 164,652,337.50 is: 235,454,779.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,140,547.50 : 164,652,337.50 = 164,652,337.50 : x
  2. Step 2: Convert to fraction form
    115,140,547.50/164,652,337.50 = 164,652,337.50/x
  3. Step 3: Cross multiply
    115,140,547.50x = 164,652,337.50 × 164,652,337.50
  4. Step 4: Simplify right side
    115,140,547.50x = 27,110,392,244,213,908
  5. Step 5: Solve for x
    x = 27,110,392,244,213,908/115,140,547.50
  6. Step 6: Final answer
    x = 235,454,779.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.