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Finding the Third Proportional to 186,421,316 and 289,447,014

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Solution

The third proportional to 186,421,316 and 289,447,014 is: 449,409,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,421,316 : 289,447,014 = 289,447,014 : x
  2. Step 2: Convert to fraction form
    186,421,316/289,447,014 = 289,447,014/x
  3. Step 3: Cross multiply
    186,421,316x = 289,447,014 × 289,447,014
  4. Step 4: Simplify right side
    186,421,316x = 83,779,573,913,516,192
  5. Step 5: Solve for x
    x = 83,779,573,913,516,192/186,421,316
  6. Step 6: Final answer
    x = 449,409,840.63

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