Finding the Third Proportional to 143,565,827,652 and 314,149,958,496
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Solution
The third proportional to 143,565,827,652 and 314,149,958,496 is: 687,421,220,196.36
Step by Step Solution
- Step 1: Write the proportion equation
143,565,827,652 : 314,149,958,496 = 314,149,958,496 : x - Step 2: Convert to fraction form
143,565,827,652/314,149,958,496 = 314,149,958,496/x - Step 3: Cross multiply
143,565,827,652x = 314,149,958,496 × 314,149,958,496 - Step 4: Simplify right side
143,565,827,652x = 98,690,196,423,038,528,913,408 - Step 5: Solve for x
x = 98,690,196,423,038,528,913,408/143,565,827,652 - Step 6: Final answer
x = 687,421,220,196.36
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.