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Finding the Third Proportional to 175,607,025.75 and 390,477,008.25

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Solution

The third proportional to 175,607,025.75 and 390,477,008.25 is: 868,258,506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,607,025.75 : 390,477,008.25 = 390,477,008.25 : x
  2. Step 2: Convert to fraction form
    175,607,025.75/390,477,008.25 = 390,477,008.25/x
  3. Step 3: Cross multiply
    175,607,025.75x = 390,477,008.25 × 390,477,008.25
  4. Step 4: Simplify right side
    175,607,025.75x = 152,472,293,971,870,560
  5. Step 5: Solve for x
    x = 152,472,293,971,870,560/175,607,025.75
  6. Step 6: Final answer
    x = 868,258,506.86

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.