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Finding the Third Proportional to 145,889,975.81 and 315,073,602.28

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Solution

The third proportional to 145,889,975.81 and 315,073,602.28 is: 680,453,706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,889,975.81 : 315,073,602.28 = 315,073,602.28 : x
  2. Step 2: Convert to fraction form
    145,889,975.81/315,073,602.28 = 315,073,602.28/x
  3. Step 3: Cross multiply
    145,889,975.81x = 315,073,602.28 × 315,073,602.28
  4. Step 4: Simplify right side
    145,889,975.81x = 99,271,374,854,483,312
  5. Step 5: Solve for x
    x = 99,271,374,854,483,312/145,889,975.81
  6. Step 6: Final answer
    x = 680,453,706.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.