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Finding the Third Proportional to 158,516,575 and 321,490,276.25

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Solution

The third proportional to 158,516,575 and 321,490,276.25 is: 652,020,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,516,575 : 321,490,276.25 = 321,490,276.25 : x
  2. Step 2: Convert to fraction form
    158,516,575/321,490,276.25 = 321,490,276.25/x
  3. Step 3: Cross multiply
    158,516,575x = 321,490,276.25 × 321,490,276.25
  4. Step 4: Simplify right side
    158,516,575x = 103,355,997,723,301,312
  5. Step 5: Solve for x
    x = 103,355,997,723,301,312/158,516,575
  6. Step 6: Final answer
    x = 652,020,129.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.